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Finding the Fourth Proportional to 3,545.53, 5,318.16 and 948.46

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Solution

The fourth proportional to 3,545.53, 5,318.16 and 948.46 is: 1,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.53 : 5,318.16 = 948.46 : x
  2. Step 2: Convert to fraction form
    3,545.53/5,318.16 = 948.46/x
  3. Step 3: Cross multiply
    3,545.53x = 5,318.16 × 948.46
  4. Step 4: Simplify right side
    3,545.53x = 5,044,062.03
  5. Step 5: Solve for x
    x = 5,044,062.03/3,545.53
  6. Step 6: Final answer
    x = 1,422.65

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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.