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Finding the Fourth Proportional to 3,514.92, 5,266.32 and 2,280.90

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Solution

The fourth proportional to 3,514.92, 5,266.32 and 2,280.90 is: 3,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.92 : 5,266.32 = 2,280.90 : x
  2. Step 2: Convert to fraction form
    3,514.92/5,266.32 = 2,280.90/x
  3. Step 3: Cross multiply
    3,514.92x = 5,266.32 × 2,280.90
  4. Step 4: Simplify right side
    3,514.92x = 12,011,949.29
  5. Step 5: Solve for x
    x = 12,011,949.29/3,514.92
  6. Step 6: Final answer
    x = 3,417.42

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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.