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Finding the Fourth Proportional to 5,665.29, 7,818.09 and 3,147.63

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Solution

The fourth proportional to 5,665.29, 7,818.09 and 3,147.63 is: 4,343.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.29 : 7,818.09 = 3,147.63 : x
  2. Step 2: Convert to fraction form
    5,665.29/7,818.09 = 3,147.63/x
  3. Step 3: Cross multiply
    5,665.29x = 7,818.09 × 3,147.63
  4. Step 4: Simplify right side
    5,665.29x = 24,608,423.28
  5. Step 5: Solve for x
    x = 24,608,423.28/5,665.29
  6. Step 6: Final answer
    x = 4,343.72

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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.