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Finding the Fourth Proportional to 5,404.62, 7,460.40 and 4,207.24

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Solution

The fourth proportional to 5,404.62, 7,460.40 and 4,207.24 is: 5,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.62 : 7,460.40 = 4,207.24 : x
  2. Step 2: Convert to fraction form
    5,404.62/7,460.40 = 4,207.24/x
  3. Step 3: Cross multiply
    5,404.62x = 7,460.40 × 4,207.24
  4. Step 4: Simplify right side
    5,404.62x = 31,387,718.40
  5. Step 5: Solve for x
    x = 31,387,718.40/5,404.62
  6. Step 6: Final answer
    x = 5,807.57

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