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Finding the Fourth Proportional to 5,754.29, 7,932.89 and 4,866.53

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Solution

The fourth proportional to 5,754.29, 7,932.89 and 4,866.53 is: 6,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.29 : 7,932.89 = 4,866.53 : x
  2. Step 2: Convert to fraction form
    5,754.29/7,932.89 = 4,866.53/x
  3. Step 3: Cross multiply
    5,754.29x = 7,932.89 × 4,866.53
  4. Step 4: Simplify right side
    5,754.29x = 38,605,622.84
  5. Step 5: Solve for x
    x = 38,605,622.84/5,754.29
  6. Step 6: Final answer
    x = 6,709.02

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Why These Related Problems?

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