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Finding the Fourth Proportional to 5,572.86, 7,682.40 and 4,244.24

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Solution

The fourth proportional to 5,572.86, 7,682.40 and 4,244.24 is: 5,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.86 : 7,682.40 = 4,244.24 : x
  2. Step 2: Convert to fraction form
    5,572.86/7,682.40 = 4,244.24/x
  3. Step 3: Cross multiply
    5,572.86x = 7,682.40 × 4,244.24
  4. Step 4: Simplify right side
    5,572.86x = 32,605,949.38
  5. Step 5: Solve for x
    x = 32,605,949.38/5,572.86
  6. Step 6: Final answer
    x = 5,850.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.