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Finding the Fourth Proportional to 5,385.16, 8,077.90 and 4,520.20

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Solution

The fourth proportional to 5,385.16, 8,077.90 and 4,520.20 is: 6,780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.16 : 8,077.90 = 4,520.20 : x
  2. Step 2: Convert to fraction form
    5,385.16/8,077.90 = 4,520.20/x
  3. Step 3: Cross multiply
    5,385.16x = 8,077.90 × 4,520.20
  4. Step 4: Simplify right side
    5,385.16x = 36,513,723.58
  5. Step 5: Solve for x
    x = 36,513,723.58/5,385.16
  6. Step 6: Final answer
    x = 6,780.43

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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.