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Finding the Fourth Proportional to 4,142.39, 6,216.02 and 1,545.53

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Solution

The fourth proportional to 4,142.39, 6,216.02 and 1,545.53 is: 2,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.39 : 6,216.02 = 1,545.53 : x
  2. Step 2: Convert to fraction form
    4,142.39/6,216.02 = 1,545.53/x
  3. Step 3: Cross multiply
    4,142.39x = 6,216.02 × 1,545.53
  4. Step 4: Simplify right side
    4,142.39x = 9,607,037.66
  5. Step 5: Solve for x
    x = 9,607,037.66/4,142.39
  6. Step 6: Final answer
    x = 2,319.20

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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.