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Finding the Fourth Proportional to 5,869.44, 8,102.88 and 4,540.16

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Solution

The fourth proportional to 5,869.44, 8,102.88 and 4,540.16 is: 6,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.44 : 8,102.88 = 4,540.16 : x
  2. Step 2: Convert to fraction form
    5,869.44/8,102.88 = 4,540.16/x
  3. Step 3: Cross multiply
    5,869.44x = 8,102.88 × 4,540.16
  4. Step 4: Simplify right side
    5,869.44x = 36,788,371.66
  5. Step 5: Solve for x
    x = 36,788,371.66/5,869.44
  6. Step 6: Final answer
    x = 6,267.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.