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Finding the Fourth Proportional to 5,741.26, 8,613.32 and 1,637.26

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Solution

The fourth proportional to 5,741.26, 8,613.32 and 1,637.26 is: 2,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.26 : 8,613.32 = 1,637.26 : x
  2. Step 2: Convert to fraction form
    5,741.26/8,613.32 = 1,637.26/x
  3. Step 3: Cross multiply
    5,741.26x = 8,613.32 × 1,637.26
  4. Step 4: Simplify right side
    5,741.26x = 14,102,244.30
  5. Step 5: Solve for x
    x = 14,102,244.30/5,741.26
  6. Step 6: Final answer
    x = 2,456.30

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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.