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Finding the Fourth Proportional to 3,689,978.40, 5,536,004.40 and 1,796,781.60

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Solution

The fourth proportional to 3,689,978.40, 5,536,004.40 and 1,796,781.60 is: 2,695,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689,978.40 : 5,536,004.40 = 1,796,781.60 : x
  2. Step 2: Convert to fraction form
    3,689,978.40/5,536,004.40 = 1,796,781.60/x
  3. Step 3: Cross multiply
    3,689,978.40x = 5,536,004.40 × 1,796,781.60
  4. Step 4: Simplify right side
    3,689,978.40x = 9,946,990,843,439.04
  5. Step 5: Solve for x
    x = 9,946,990,843,439.04/3,689,978.40
  6. Step 6: Final answer
    x = 2,695,677.25

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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.