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Finding the Fourth Proportional to 3,659.72, 5,489.58 and 1,713.29

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Solution

The fourth proportional to 3,659.72, 5,489.58 and 1,713.29 is: 2,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.72 : 5,489.58 = 1,713.29 : x
  2. Step 2: Convert to fraction form
    3,659.72/5,489.58 = 1,713.29/x
  3. Step 3: Cross multiply
    3,659.72x = 5,489.58 × 1,713.29
  4. Step 4: Simplify right side
    3,659.72x = 9,405,215.07
  5. Step 5: Solve for x
    x = 9,405,215.07/3,659.72
  6. Step 6: Final answer
    x = 2,569.93

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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.