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Finding the Fourth Proportional to 3,414.42, 4,714.44 and 3,359.91

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Solution

The fourth proportional to 3,414.42, 4,714.44 and 3,359.91 is: 4,639.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.42 : 4,714.44 = 3,359.91 : x
  2. Step 2: Convert to fraction form
    3,414.42/4,714.44 = 3,359.91/x
  3. Step 3: Cross multiply
    3,414.42x = 4,714.44 × 3,359.91
  4. Step 4: Simplify right side
    3,414.42x = 15,840,099.18
  5. Step 5: Solve for x
    x = 15,840,099.18/3,414.42
  6. Step 6: Final answer
    x = 4,639.18

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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.