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Finding the Fourth Proportional to 4,711.29, 6,502.38 and 2,723.00

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Solution

The fourth proportional to 4,711.29, 6,502.38 and 2,723.00 is: 3,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.29 : 6,502.38 = 2,723.00 : x
  2. Step 2: Convert to fraction form
    4,711.29/6,502.38 = 2,723.00/x
  3. Step 3: Cross multiply
    4,711.29x = 6,502.38 × 2,723.00
  4. Step 4: Simplify right side
    4,711.29x = 17,705,972.61
  5. Step 5: Solve for x
    x = 17,705,972.61/4,711.29
  6. Step 6: Final answer
    x = 3,758.20

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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.