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Finding the Fourth Proportional to 5,614.72, 7,748.22 and 3,097.08

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Solution

The fourth proportional to 5,614.72, 7,748.22 and 3,097.08 is: 4,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.72 : 7,748.22 = 3,097.08 : x
  2. Step 2: Convert to fraction form
    5,614.72/7,748.22 = 3,097.08/x
  3. Step 3: Cross multiply
    5,614.72x = 7,748.22 × 3,097.08
  4. Step 4: Simplify right side
    5,614.72x = 23,996,818.46
  5. Step 5: Solve for x
    x = 23,996,818.46/5,614.72
  6. Step 6: Final answer
    x = 4,273.91

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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.