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Finding the Fourth Proportional to 3,462.71, 4,777.75 and 3,344.15

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Solution

The fourth proportional to 3,462.71, 4,777.75 and 3,344.15 is: 4,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.71 : 4,777.75 = 3,344.15 : x
  2. Step 2: Convert to fraction form
    3,462.71/4,777.75 = 3,344.15/x
  3. Step 3: Cross multiply
    3,462.71x = 4,777.75 × 3,344.15
  4. Step 4: Simplify right side
    3,462.71x = 15,977,512.66
  5. Step 5: Solve for x
    x = 15,977,512.66/3,462.71
  6. Step 6: Final answer
    x = 4,614.16

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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.