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Finding the Fourth Proportional to 3,882.71, 5,818.82 and 2,125.06

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Solution

The fourth proportional to 3,882.71, 5,818.82 and 2,125.06 is: 3,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.71 : 5,818.82 = 2,125.06 : x
  2. Step 2: Convert to fraction form
    3,882.71/5,818.82 = 2,125.06/x
  3. Step 3: Cross multiply
    3,882.71x = 5,818.82 × 2,125.06
  4. Step 4: Simplify right side
    3,882.71x = 12,365,341.63
  5. Step 5: Solve for x
    x = 12,365,341.63/3,882.71
  6. Step 6: Final answer
    x = 3,184.72

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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.