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Finding the Fourth Proportional to 3,753.40, 5,630.09 and 2,292.20

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Solution

The fourth proportional to 3,753.40, 5,630.09 and 2,292.20 is: 3,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.40 : 5,630.09 = 2,292.20 : x
  2. Step 2: Convert to fraction form
    3,753.40/5,630.09 = 2,292.20/x
  3. Step 3: Cross multiply
    3,753.40x = 5,630.09 × 2,292.20
  4. Step 4: Simplify right side
    3,753.40x = 12,905,280.84
  5. Step 5: Solve for x
    x = 12,905,280.84/3,753.40
  6. Step 6: Final answer
    x = 3,438.30

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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.