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Finding the Fourth Proportional to 5,767.12, 8,660.40 and 5,721.76

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Solution

The fourth proportional to 5,767.12, 8,660.40 and 5,721.76 is: 8,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.12 : 8,660.40 = 5,721.76 : x
  2. Step 2: Convert to fraction form
    5,767.12/8,660.40 = 5,721.76/x
  3. Step 3: Cross multiply
    5,767.12x = 8,660.40 × 5,721.76
  4. Step 4: Simplify right side
    5,767.12x = 49,552,730.30
  5. Step 5: Solve for x
    x = 49,552,730.30/5,767.12
  6. Step 6: Final answer
    x = 8,592.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.