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Finding the Fourth Proportional to 4,377.72, 6,565.02 and 1,455.24

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Solution

The fourth proportional to 4,377.72, 6,565.02 and 1,455.24 is: 2,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.72 : 6,565.02 = 1,455.24 : x
  2. Step 2: Convert to fraction form
    4,377.72/6,565.02 = 1,455.24/x
  3. Step 3: Cross multiply
    4,377.72x = 6,565.02 × 1,455.24
  4. Step 4: Simplify right side
    4,377.72x = 9,553,679.70
  5. Step 5: Solve for x
    x = 9,553,679.70/4,377.72
  6. Step 6: Final answer
    x = 2,182.34

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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.