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Finding the Fourth Proportional to 5,614.58, 7,748.58 and 3,097.18

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Solution

The fourth proportional to 5,614.58, 7,748.58 and 3,097.18 is: 4,274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.58 : 7,748.58 = 3,097.18 : x
  2. Step 2: Convert to fraction form
    5,614.58/7,748.58 = 3,097.18/x
  3. Step 3: Cross multiply
    5,614.58x = 7,748.58 × 3,097.18
  4. Step 4: Simplify right side
    5,614.58x = 23,998,747.00
  5. Step 5: Solve for x
    x = 23,998,747.00/5,614.58
  6. Step 6: Final answer
    x = 4,274.36

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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.