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Finding the Fourth Proportional to 6,551.60, 9,042.04 and 3,757.04

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Solution

The fourth proportional to 6,551.60, 9,042.04 and 3,757.04 is: 5,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.60 : 9,042.04 = 3,757.04 : x
  2. Step 2: Convert to fraction form
    6,551.60/9,042.04 = 3,757.04/x
  3. Step 3: Cross multiply
    6,551.60x = 9,042.04 × 3,757.04
  4. Step 4: Simplify right side
    6,551.60x = 33,971,305.96
  5. Step 5: Solve for x
    x = 33,971,305.96/6,551.60
  6. Step 6: Final answer
    x = 5,185.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.