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Finding the Fourth Proportional to 3,545.28, 5,318.01 and 948.24

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Solution

The fourth proportional to 3,545.28, 5,318.01 and 948.24 is: 1,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.28 : 5,318.01 = 948.24 : x
  2. Step 2: Convert to fraction form
    3,545.28/5,318.01 = 948.24/x
  3. Step 3: Cross multiply
    3,545.28x = 5,318.01 × 948.24
  4. Step 4: Simplify right side
    3,545.28x = 5,042,749.80
  5. Step 5: Solve for x
    x = 5,042,749.80/3,545.28
  6. Step 6: Final answer
    x = 1,422.38

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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.