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Finding the Fourth Proportional to 3,545.58, 5,318.37 and 948.54

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Solution

The fourth proportional to 3,545.58, 5,318.37 and 948.54 is: 1,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.58 : 5,318.37 = 948.54 : x
  2. Step 2: Convert to fraction form
    3,545.58/5,318.37 = 948.54/x
  3. Step 3: Cross multiply
    3,545.58x = 5,318.37 × 948.54
  4. Step 4: Simplify right side
    3,545.58x = 5,044,686.68
  5. Step 5: Solve for x
    x = 5,044,686.68/3,545.58
  6. Step 6: Final answer
    x = 1,422.81

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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.