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Finding the Fourth Proportional to 3,545.32, 5,317.98 and 948.19

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Solution

The fourth proportional to 3,545.32, 5,317.98 and 948.19 is: 1,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.32 : 5,317.98 = 948.19 : x
  2. Step 2: Convert to fraction form
    3,545.32/5,317.98 = 948.19/x
  3. Step 3: Cross multiply
    3,545.32x = 5,317.98 × 948.19
  4. Step 4: Simplify right side
    3,545.32x = 5,042,438.61
  5. Step 5: Solve for x
    x = 5,042,438.61/3,545.32
  6. Step 6: Final answer
    x = 1,422.28

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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.