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Finding the Fourth Proportional to 5,071.52, 7,602.96 and 2,149.76

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Solution

The fourth proportional to 5,071.52, 7,602.96 and 2,149.76 is: 3,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.52 : 7,602.96 = 2,149.76 : x
  2. Step 2: Convert to fraction form
    5,071.52/7,602.96 = 2,149.76/x
  3. Step 3: Cross multiply
    5,071.52x = 7,602.96 × 2,149.76
  4. Step 4: Simplify right side
    5,071.52x = 16,344,539.29
  5. Step 5: Solve for x
    x = 16,344,539.29/5,071.52
  6. Step 6: Final answer
    x = 3,222.81

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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.