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Finding the Fourth Proportional to 4,077.46, 6,127.13 and 3,957.18

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Solution

The fourth proportional to 4,077.46, 6,127.13 and 3,957.18 is: 5,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.46 : 6,127.13 = 3,957.18 : x
  2. Step 2: Convert to fraction form
    4,077.46/6,127.13 = 3,957.18/x
  3. Step 3: Cross multiply
    4,077.46x = 6,127.13 × 3,957.18
  4. Step 4: Simplify right side
    4,077.46x = 24,246,156.29
  5. Step 5: Solve for x
    x = 24,246,156.29/4,077.46
  6. Step 6: Final answer
    x = 5,946.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.