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Finding the Fourth Proportional to 4,711.98, 6,502.47 and 2,722.50

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Solution

The fourth proportional to 4,711.98, 6,502.47 and 2,722.50 is: 3,757.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.98 : 6,502.47 = 2,722.50 : x
  2. Step 2: Convert to fraction form
    4,711.98/6,502.47 = 2,722.50/x
  3. Step 3: Cross multiply
    4,711.98x = 6,502.47 × 2,722.50
  4. Step 4: Simplify right side
    4,711.98x = 17,702,974.58
  5. Step 5: Solve for x
    x = 17,702,974.58/4,711.98
  6. Step 6: Final answer
    x = 3,757.01

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