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Finding the Fourth Proportional to 4,713.59, 7,071.15 and 1,426.41

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Solution

The fourth proportional to 4,713.59, 7,071.15 and 1,426.41 is: 2,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.59 : 7,071.15 = 1,426.41 : x
  2. Step 2: Convert to fraction form
    4,713.59/7,071.15 = 1,426.41/x
  3. Step 3: Cross multiply
    4,713.59x = 7,071.15 × 1,426.41
  4. Step 4: Simplify right side
    4,713.59x = 10,086,359.07
  5. Step 5: Solve for x
    x = 10,086,359.07/4,713.59
  6. Step 6: Final answer
    x = 2,139.85

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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.