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Finding the Fourth Proportional to 3,657.62, 5,486.43 and 1,711.19

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Solution

The fourth proportional to 3,657.62, 5,486.43 and 1,711.19 is: 2,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.62 : 5,486.43 = 1,711.19 : x
  2. Step 2: Convert to fraction form
    3,657.62/5,486.43 = 1,711.19/x
  3. Step 3: Cross multiply
    3,657.62x = 5,486.43 × 1,711.19
  4. Step 4: Simplify right side
    3,657.62x = 9,388,344.28
  5. Step 5: Solve for x
    x = 9,388,344.28/3,657.62
  6. Step 6: Final answer
    x = 2,566.79

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Similar ratio
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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.