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Finding the Fourth Proportional to 4,502.55, 6,753.62 and 1,728.71

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Solution

The fourth proportional to 4,502.55, 6,753.62 and 1,728.71 is: 2,592.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.55 : 6,753.62 = 1,728.71 : x
  2. Step 2: Convert to fraction form
    4,502.55/6,753.62 = 1,728.71/x
  3. Step 3: Cross multiply
    4,502.55x = 6,753.62 × 1,728.71
  4. Step 4: Simplify right side
    4,502.55x = 11,675,008.02
  5. Step 5: Solve for x
    x = 11,675,008.02/4,502.55
  6. Step 6: Final answer
    x = 2,592.98

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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.