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Finding the Fourth Proportional to 5,675.76, 8,489.34 and 4,732.92

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Solution

The fourth proportional to 5,675.76, 8,489.34 and 4,732.92 is: 7,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.76 : 8,489.34 = 4,732.92 : x
  2. Step 2: Convert to fraction form
    5,675.76/8,489.34 = 4,732.92/x
  3. Step 3: Cross multiply
    5,675.76x = 8,489.34 × 4,732.92
  4. Step 4: Simplify right side
    5,675.76x = 40,179,367.07
  5. Step 5: Solve for x
    x = 40,179,367.07/5,675.76
  6. Step 6: Final answer
    x = 7,079.12

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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.