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Finding the Fourth Proportional to 4,507.84, 6,727.56 and 4,391.20

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Solution

The fourth proportional to 4,507.84, 6,727.56 and 4,391.20 is: 6,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.84 : 6,727.56 = 4,391.20 : x
  2. Step 2: Convert to fraction form
    4,507.84/6,727.56 = 4,391.20/x
  3. Step 3: Cross multiply
    4,507.84x = 6,727.56 × 4,391.20
  4. Step 4: Simplify right side
    4,507.84x = 29,542,061.47
  5. Step 5: Solve for x
    x = 29,542,061.47/4,507.84
  6. Step 6: Final answer
    x = 6,553.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.