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Finding the Fourth Proportional to 6,105.68, 8,421.52 and 3,749.12

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Solution

The fourth proportional to 6,105.68, 8,421.52 and 3,749.12 is: 5,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.68 : 8,421.52 = 3,749.12 : x
  2. Step 2: Convert to fraction form
    6,105.68/8,421.52 = 3,749.12/x
  3. Step 3: Cross multiply
    6,105.68x = 8,421.52 × 3,749.12
  4. Step 4: Simplify right side
    6,105.68x = 31,573,289.06
  5. Step 5: Solve for x
    x = 31,573,289.06/6,105.68
  6. Step 6: Final answer
    x = 5,171.13

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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.