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Finding the Fourth Proportional to 5,613.74, 7,741.17 and 3,724.64

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Solution

The fourth proportional to 5,613.74, 7,741.17 and 3,724.64 is: 5,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.74 : 7,741.17 = 3,724.64 : x
  2. Step 2: Convert to fraction form
    5,613.74/7,741.17 = 3,724.64/x
  3. Step 3: Cross multiply
    5,613.74x = 7,741.17 × 3,724.64
  4. Step 4: Simplify right side
    5,613.74x = 28,833,032.72
  5. Step 5: Solve for x
    x = 28,833,032.72/5,613.74
  6. Step 6: Final answer
    x = 5,136.16

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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.