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Finding the Fourth Proportional to 4,645,296.08, 6,961,409.40 and 3,694,446.80

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Solution

The fourth proportional to 4,645,296.08, 6,961,409.40 and 3,694,446.80 is: 5,536,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645,296.08 : 6,961,409.40 = 3,694,446.80 : x
  2. Step 2: Convert to fraction form
    4,645,296.08/6,961,409.40 = 3,694,446.80/x
  3. Step 3: Cross multiply
    4,645,296.08x = 6,961,409.40 × 3,694,446.80
  4. Step 4: Simplify right side
    4,645,296.08x = 25,718,556,681,319.92
  5. Step 5: Solve for x
    x = 25,718,556,681,319.92/4,645,296.08
  6. Step 6: Final answer
    x = 5,536,473.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.