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Finding the Fourth Proportional to 4,713.70, 7,071.18 and 1,592.38

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Solution

The fourth proportional to 4,713.70, 7,071.18 and 1,592.38 is: 2,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.70 : 7,071.18 = 1,592.38 : x
  2. Step 2: Convert to fraction form
    4,713.70/7,071.18 = 1,592.38/x
  3. Step 3: Cross multiply
    4,713.70x = 7,071.18 × 1,592.38
  4. Step 4: Simplify right side
    4,713.70x = 11,260,005.61
  5. Step 5: Solve for x
    x = 11,260,005.61/4,713.70
  6. Step 6: Final answer
    x = 2,388.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.