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Finding the Fourth Proportional to 4,097.27, 6,129.03 and 3,748.06

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Solution

The fourth proportional to 4,097.27, 6,129.03 and 3,748.06 is: 5,606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.27 : 6,129.03 = 3,748.06 : x
  2. Step 2: Convert to fraction form
    4,097.27/6,129.03 = 3,748.06/x
  3. Step 3: Cross multiply
    4,097.27x = 6,129.03 × 3,748.06
  4. Step 4: Simplify right side
    4,097.27x = 22,971,993.90
  5. Step 5: Solve for x
    x = 22,971,993.90/4,097.27
  6. Step 6: Final answer
    x = 5,606.66

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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.