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Finding the Fourth Proportional to 6,132.44, 8,462.19 and 4,145.68

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Solution

The fourth proportional to 6,132.44, 8,462.19 and 4,145.68 is: 5,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.44 : 8,462.19 = 4,145.68 : x
  2. Step 2: Convert to fraction form
    6,132.44/8,462.19 = 4,145.68/x
  3. Step 3: Cross multiply
    6,132.44x = 8,462.19 × 4,145.68
  4. Step 4: Simplify right side
    6,132.44x = 35,081,531.84
  5. Step 5: Solve for x
    x = 35,081,531.84/6,132.44
  6. Step 6: Final answer
    x = 5,720.65

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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.