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Finding the Fourth Proportional to 4,767.36, 6,560.49 and 4,398

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Solution

The fourth proportional to 4,767.36, 6,560.49 and 4,398 is: 6,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.36 : 6,560.49 = 4,398 : x
  2. Step 2: Convert to fraction form
    4,767.36/6,560.49 = 4,398/x
  3. Step 3: Cross multiply
    4,767.36x = 6,560.49 × 4,398
  4. Step 4: Simplify right side
    4,767.36x = 28,853,035.02
  5. Step 5: Solve for x
    x = 28,853,035.02/4,767.36
  6. Step 6: Final answer
    x = 6,052.20

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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.