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Finding the Fourth Proportional to 4,002.71, 6,004.16 and 3,181.55

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Solution

The fourth proportional to 4,002.71, 6,004.16 and 3,181.55 is: 4,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.71 : 6,004.16 = 3,181.55 : x
  2. Step 2: Convert to fraction form
    4,002.71/6,004.16 = 3,181.55/x
  3. Step 3: Cross multiply
    4,002.71x = 6,004.16 × 3,181.55
  4. Step 4: Simplify right side
    4,002.71x = 19,102,519.34
  5. Step 5: Solve for x
    x = 19,102,519.34/4,002.71
  6. Step 6: Final answer
    x = 4,772.40

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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.