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Finding the Fourth Proportional to 5,765.86, 8,634.93 and 5,724.42

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Solution

The fourth proportional to 5,765.86, 8,634.93 and 5,724.42 is: 8,572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.86 : 8,634.93 = 5,724.42 : x
  2. Step 2: Convert to fraction form
    5,765.86/8,634.93 = 5,724.42/x
  3. Step 3: Cross multiply
    5,765.86x = 8,634.93 × 5,724.42
  4. Step 4: Simplify right side
    5,765.86x = 49,429,965.99
  5. Step 5: Solve for x
    x = 49,429,965.99/5,765.86
  6. Step 6: Final answer
    x = 8,572.87

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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.