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Finding the Fourth Proportional to 5,742.76, 8,613.30 and 2,740.12

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Solution

The fourth proportional to 5,742.76, 8,613.30 and 2,740.12 is: 4,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.76 : 8,613.30 = 2,740.12 : x
  2. Step 2: Convert to fraction form
    5,742.76/8,613.30 = 2,740.12/x
  3. Step 3: Cross multiply
    5,742.76x = 8,613.30 × 2,740.12
  4. Step 4: Simplify right side
    5,742.76x = 23,601,475.60
  5. Step 5: Solve for x
    x = 23,601,475.60/5,742.76
  6. Step 6: Final answer
    x = 4,109.78

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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.