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Finding the Fourth Proportional to 3,871.97, 5,805.52 and 2,818.16

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Solution

The fourth proportional to 3,871.97, 5,805.52 and 2,818.16 is: 4,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.97 : 5,805.52 = 2,818.16 : x
  2. Step 2: Convert to fraction form
    3,871.97/5,805.52 = 2,818.16/x
  3. Step 3: Cross multiply
    3,871.97x = 5,805.52 × 2,818.16
  4. Step 4: Simplify right side
    3,871.97x = 16,360,885.79
  5. Step 5: Solve for x
    x = 16,360,885.79/3,871.97
  6. Step 6: Final answer
    x = 4,225.47

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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.