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Finding the Fourth Proportional to 5,765.64, 8,635.04 and 5,565.86

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Solution

The fourth proportional to 5,765.64, 8,635.04 and 5,565.86 is: 8,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.64 : 8,635.04 = 5,565.86 : x
  2. Step 2: Convert to fraction form
    5,765.64/8,635.04 = 5,565.86/x
  3. Step 3: Cross multiply
    5,765.64x = 8,635.04 × 5,565.86
  4. Step 4: Simplify right side
    5,765.64x = 48,061,485.86
  5. Step 5: Solve for x
    x = 48,061,485.86/5,765.64
  6. Step 6: Final answer
    x = 8,335.85

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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.