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Finding the Fourth Proportional to 3,545.48, 5,318.22 and 948.35

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Solution

The fourth proportional to 3,545.48, 5,318.22 and 948.35 is: 1,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.48 : 5,318.22 = 948.35 : x
  2. Step 2: Convert to fraction form
    3,545.48/5,318.22 = 948.35/x
  3. Step 3: Cross multiply
    3,545.48x = 5,318.22 × 948.35
  4. Step 4: Simplify right side
    3,545.48x = 5,043,549.60
  5. Step 5: Solve for x
    x = 5,043,549.60/3,545.48
  6. Step 6: Final answer
    x = 1,422.53

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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.