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Finding the Fourth Proportional to 3,836.60, 5,754.90 and 2,281.40

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Solution

The fourth proportional to 3,836.60, 5,754.90 and 2,281.40 is: 3,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.60 : 5,754.90 = 2,281.40 : x
  2. Step 2: Convert to fraction form
    3,836.60/5,754.90 = 2,281.40/x
  3. Step 3: Cross multiply
    3,836.60x = 5,754.90 × 2,281.40
  4. Step 4: Simplify right side
    3,836.60x = 13,129,228.86
  5. Step 5: Solve for x
    x = 13,129,228.86/3,836.60
  6. Step 6: Final answer
    x = 3,422.10

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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.