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Finding the Fourth Proportional to 5,720.70, 8,557.92 and 4,949.24

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Solution

The fourth proportional to 5,720.70, 8,557.92 and 4,949.24 is: 7,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.70 : 8,557.92 = 4,949.24 : x
  2. Step 2: Convert to fraction form
    5,720.70/8,557.92 = 4,949.24/x
  3. Step 3: Cross multiply
    5,720.70x = 8,557.92 × 4,949.24
  4. Step 4: Simplify right side
    5,720.70x = 42,355,199.98
  5. Step 5: Solve for x
    x = 42,355,199.98/5,720.70
  6. Step 6: Final answer
    x = 7,403.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.