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Finding the Fourth Proportional to 4,031.61, 6,046.61 and 2,182.38

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Solution

The fourth proportional to 4,031.61, 6,046.61 and 2,182.38 is: 3,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031.61 : 6,046.61 = 2,182.38 : x
  2. Step 2: Convert to fraction form
    4,031.61/6,046.61 = 2,182.38/x
  3. Step 3: Cross multiply
    4,031.61x = 6,046.61 × 2,182.38
  4. Step 4: Simplify right side
    4,031.61x = 13,195,989.82
  5. Step 5: Solve for x
    x = 13,195,989.82/4,031.61
  6. Step 6: Final answer
    x = 3,273.13

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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.