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Finding the Fourth Proportional to 5,609.60, 7,741.08 and 3,514.88

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Solution

The fourth proportional to 5,609.60, 7,741.08 and 3,514.88 is: 4,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.60 : 7,741.08 = 3,514.88 : x
  2. Step 2: Convert to fraction form
    5,609.60/7,741.08 = 3,514.88/x
  3. Step 3: Cross multiply
    5,609.60x = 7,741.08 × 3,514.88
  4. Step 4: Simplify right side
    5,609.60x = 27,208,967.27
  5. Step 5: Solve for x
    x = 27,208,967.27/5,609.60
  6. Step 6: Final answer
    x = 4,850.43

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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.