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Finding the Fourth Proportional to 3,523.86, 4,862.58 and 2,011.44

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Solution

The fourth proportional to 3,523.86, 4,862.58 and 2,011.44 is: 2,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.86 : 4,862.58 = 2,011.44 : x
  2. Step 2: Convert to fraction form
    3,523.86/4,862.58 = 2,011.44/x
  3. Step 3: Cross multiply
    3,523.86x = 4,862.58 × 2,011.44
  4. Step 4: Simplify right side
    3,523.86x = 9,780,787.92
  5. Step 5: Solve for x
    x = 9,780,787.92/3,523.86
  6. Step 6: Final answer
    x = 2,775.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.