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Finding the Fourth Proportional to 3,447.16, 4,761.92 and 3,074.02

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Solution

The fourth proportional to 3,447.16, 4,761.92 and 3,074.02 is: 4,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.16 : 4,761.92 = 3,074.02 : x
  2. Step 2: Convert to fraction form
    3,447.16/4,761.92 = 3,074.02/x
  3. Step 3: Cross multiply
    3,447.16x = 4,761.92 × 3,074.02
  4. Step 4: Simplify right side
    3,447.16x = 14,638,233.10
  5. Step 5: Solve for x
    x = 14,638,233.10/3,447.16
  6. Step 6: Final answer
    x = 4,246.46

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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.