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Finding the Fourth Proportional to 6,132.74, 8,462.48 and 3,443.60

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Solution

The fourth proportional to 6,132.74, 8,462.48 and 3,443.60 is: 4,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.74 : 8,462.48 = 3,443.60 : x
  2. Step 2: Convert to fraction form
    6,132.74/8,462.48 = 3,443.60/x
  3. Step 3: Cross multiply
    6,132.74x = 8,462.48 × 3,443.60
  4. Step 4: Simplify right side
    6,132.74x = 29,141,409.96
  5. Step 5: Solve for x
    x = 29,141,409.96/6,132.74
  6. Step 6: Final answer
    x = 4,751.78

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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.