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Finding the Fourth Proportional to 5,856.86, 8,082.50 and 3,304.64

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Solution

The fourth proportional to 5,856.86, 8,082.50 and 3,304.64 is: 4,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.86 : 8,082.50 = 3,304.64 : x
  2. Step 2: Convert to fraction form
    5,856.86/8,082.50 = 3,304.64/x
  3. Step 3: Cross multiply
    5,856.86x = 8,082.50 × 3,304.64
  4. Step 4: Simplify right side
    5,856.86x = 26,709,752.80
  5. Step 5: Solve for x
    x = 26,709,752.80/5,856.86
  6. Step 6: Final answer
    x = 4,560.42

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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.