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Finding the Fourth Proportional to 3,545.92, 4,896.47 and 2,221.90

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Solution

The fourth proportional to 3,545.92, 4,896.47 and 2,221.90 is: 3,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.92 : 4,896.47 = 2,221.90 : x
  2. Step 2: Convert to fraction form
    3,545.92/4,896.47 = 2,221.90/x
  3. Step 3: Cross multiply
    3,545.92x = 4,896.47 × 2,221.90
  4. Step 4: Simplify right side
    3,545.92x = 10,879,466.69
  5. Step 5: Solve for x
    x = 10,879,466.69/3,545.92
  6. Step 6: Final answer
    x = 3,068.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.