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Finding the Fourth Proportional to 3,466.85, 5,200.22 and 869.78

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Solution

The fourth proportional to 3,466.85, 5,200.22 and 869.78 is: 1,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.85 : 5,200.22 = 869.78 : x
  2. Step 2: Convert to fraction form
    3,466.85/5,200.22 = 869.78/x
  3. Step 3: Cross multiply
    3,466.85x = 5,200.22 × 869.78
  4. Step 4: Simplify right side
    3,466.85x = 4,523,062.53
  5. Step 5: Solve for x
    x = 4,523,062.53/3,466.85
  6. Step 6: Final answer
    x = 1,304.66

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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.