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Finding the Fourth Proportional to 5,652.77, 8,466.82 and 3,454.84

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Solution

The fourth proportional to 5,652.77, 8,466.82 and 3,454.84 is: 5,174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.77 : 8,466.82 = 3,454.84 : x
  2. Step 2: Convert to fraction form
    5,652.77/8,466.82 = 3,454.84/x
  3. Step 3: Cross multiply
    5,652.77x = 8,466.82 × 3,454.84
  4. Step 4: Simplify right side
    5,652.77x = 29,251,508.41
  5. Step 5: Solve for x
    x = 29,251,508.41/5,652.77
  6. Step 6: Final answer
    x = 5,174.72

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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.