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Finding the Fourth Proportional to 4,264.60, 6,388.53 and 3,800.20

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Solution

The fourth proportional to 4,264.60, 6,388.53 and 3,800.20 is: 5,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.60 : 6,388.53 = 3,800.20 : x
  2. Step 2: Convert to fraction form
    4,264.60/6,388.53 = 3,800.20/x
  3. Step 3: Cross multiply
    4,264.60x = 6,388.53 × 3,800.20
  4. Step 4: Simplify right side
    4,264.60x = 24,277,691.71
  5. Step 5: Solve for x
    x = 24,277,691.71/4,264.60
  6. Step 6: Final answer
    x = 5,692.84

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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.