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Finding the Fourth Proportional to 3,542.37, 5,307.66 and 2,500.66

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Solution

The fourth proportional to 3,542.37, 5,307.66 and 2,500.66 is: 3,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.37 : 5,307.66 = 2,500.66 : x
  2. Step 2: Convert to fraction form
    3,542.37/5,307.66 = 2,500.66/x
  3. Step 3: Cross multiply
    3,542.37x = 5,307.66 × 2,500.66
  4. Step 4: Simplify right side
    3,542.37x = 13,272,653.06
  5. Step 5: Solve for x
    x = 13,272,653.06/3,542.37
  6. Step 6: Final answer
    x = 3,746.83

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