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Finding the Fourth Proportional to 3,613.92, 4,987.07 and 2,042.01

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Solution

The fourth proportional to 3,613.92, 4,987.07 and 2,042.01 is: 2,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.92 : 4,987.07 = 2,042.01 : x
  2. Step 2: Convert to fraction form
    3,613.92/4,987.07 = 2,042.01/x
  3. Step 3: Cross multiply
    3,613.92x = 4,987.07 × 2,042.01
  4. Step 4: Simplify right side
    3,613.92x = 10,183,644.26
  5. Step 5: Solve for x
    x = 10,183,644.26/3,613.92
  6. Step 6: Final answer
    x = 2,817.90

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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.