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Finding the Fourth Proportional to 5,696.50, 8,546.01 and 2,412.40

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Solution

The fourth proportional to 5,696.50, 8,546.01 and 2,412.40 is: 3,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.50 : 8,546.01 = 2,412.40 : x
  2. Step 2: Convert to fraction form
    5,696.50/8,546.01 = 2,412.40/x
  3. Step 3: Cross multiply
    5,696.50x = 8,546.01 × 2,412.40
  4. Step 4: Simplify right side
    5,696.50x = 20,616,394.52
  5. Step 5: Solve for x
    x = 20,616,394.52/5,696.50
  6. Step 6: Final answer
    x = 3,619.13

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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.