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Finding the Fourth Proportional to 3,342.92, 4,611.40 and 2,714.16

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Solution

The fourth proportional to 3,342.92, 4,611.40 and 2,714.16 is: 3,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.92 : 4,611.40 = 2,714.16 : x
  2. Step 2: Convert to fraction form
    3,342.92/4,611.40 = 2,714.16/x
  3. Step 3: Cross multiply
    3,342.92x = 4,611.40 × 2,714.16
  4. Step 4: Simplify right side
    3,342.92x = 12,516,077.42
  5. Step 5: Solve for x
    x = 12,516,077.42/3,342.92
  6. Step 6: Final answer
    x = 3,744.06

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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.