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Finding the Fourth Proportional to 5,765.98, 7,954.68 and 4,257.15

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Solution

The fourth proportional to 5,765.98, 7,954.68 and 4,257.15 is: 5,873.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.98 : 7,954.68 = 4,257.15 : x
  2. Step 2: Convert to fraction form
    5,765.98/7,954.68 = 4,257.15/x
  3. Step 3: Cross multiply
    5,765.98x = 7,954.68 × 4,257.15
  4. Step 4: Simplify right side
    5,765.98x = 33,864,265.96
  5. Step 5: Solve for x
    x = 33,864,265.96/5,765.98
  6. Step 6: Final answer
    x = 5,873.12

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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.