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Finding the Fourth Proportional to 5,857.85, 8,765.82 and 5,466.83

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Solution

The fourth proportional to 5,857.85, 8,765.82 and 5,466.83 is: 8,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.85 : 8,765.82 = 5,466.83 : x
  2. Step 2: Convert to fraction form
    5,857.85/8,765.82 = 5,466.83/x
  3. Step 3: Cross multiply
    5,857.85x = 8,765.82 × 5,466.83
  4. Step 4: Simplify right side
    5,857.85x = 47,921,203.92
  5. Step 5: Solve for x
    x = 47,921,203.92/5,857.85
  6. Step 6: Final answer
    x = 8,180.68

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1.5x scale

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.