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Finding the Fourth Proportional to 5,665.48, 7,818.12 and 3,147.76

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Solution

The fourth proportional to 5,665.48, 7,818.12 and 3,147.76 is: 4,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.48 : 7,818.12 = 3,147.76 : x
  2. Step 2: Convert to fraction form
    5,665.48/7,818.12 = 3,147.76/x
  3. Step 3: Cross multiply
    5,665.48x = 7,818.12 × 3,147.76
  4. Step 4: Simplify right side
    5,665.48x = 24,609,565.41
  5. Step 5: Solve for x
    x = 24,609,565.41/5,665.48
  6. Step 6: Final answer
    x = 4,343.77

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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.