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Finding the Fourth Proportional to 5,765.38, 7,956.22 and 3,281.38

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Solution

The fourth proportional to 5,765.38, 7,956.22 and 3,281.38 is: 4,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.38 : 7,956.22 = 3,281.38 : x
  2. Step 2: Convert to fraction form
    5,765.38/7,956.22 = 3,281.38/x
  3. Step 3: Cross multiply
    5,765.38x = 7,956.22 × 3,281.38
  4. Step 4: Simplify right side
    5,765.38x = 26,107,341.40
  5. Step 5: Solve for x
    x = 26,107,341.40/5,765.38
  6. Step 6: Final answer
    x = 4,528.30

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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.