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Finding the Fourth Proportional to 5,742.16, 8,613.22 and 2,044.53

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Solution

The fourth proportional to 5,742.16, 8,613.22 and 2,044.53 is: 3,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.16 : 8,613.22 = 2,044.53 : x
  2. Step 2: Convert to fraction form
    5,742.16/8,613.22 = 2,044.53/x
  3. Step 3: Cross multiply
    5,742.16x = 8,613.22 × 2,044.53
  4. Step 4: Simplify right side
    5,742.16x = 17,609,976.46
  5. Step 5: Solve for x
    x = 17,609,976.46/5,742.16
  6. Step 6: Final answer
    x = 3,066.79

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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.