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Finding the Fourth Proportional to 5,778.85, 8,671.59 and 5,731.87

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Solution

The fourth proportional to 5,778.85, 8,671.59 and 5,731.87 is: 8,601.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.85 : 8,671.59 = 5,731.87 : x
  2. Step 2: Convert to fraction form
    5,778.85/8,671.59 = 5,731.87/x
  3. Step 3: Cross multiply
    5,778.85x = 8,671.59 × 5,731.87
  4. Step 4: Simplify right side
    5,778.85x = 49,704,426.57
  5. Step 5: Solve for x
    x = 49,704,426.57/5,778.85
  6. Step 6: Final answer
    x = 8,601.09

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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.