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Finding the Fourth Proportional to 3,363.20, 5,045.52 and 1,023.28

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Solution

The fourth proportional to 3,363.20, 5,045.52 and 1,023.28 is: 1,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.20 : 5,045.52 = 1,023.28 : x
  2. Step 2: Convert to fraction form
    3,363.20/5,045.52 = 1,023.28/x
  3. Step 3: Cross multiply
    3,363.20x = 5,045.52 × 1,023.28
  4. Step 4: Simplify right side
    3,363.20x = 5,162,979.71
  5. Step 5: Solve for x
    x = 5,162,979.71/3,363.20
  6. Step 6: Final answer
    x = 1,535.14

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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.