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Finding the Fourth Proportional to 3,706.68, 5,559.12 and 1,731.06

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Solution

The fourth proportional to 3,706.68, 5,559.12 and 1,731.06 is: 2,596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.68 : 5,559.12 = 1,731.06 : x
  2. Step 2: Convert to fraction form
    3,706.68/5,559.12 = 1,731.06/x
  3. Step 3: Cross multiply
    3,706.68x = 5,559.12 × 1,731.06
  4. Step 4: Simplify right side
    3,706.68x = 9,623,170.27
  5. Step 5: Solve for x
    x = 9,623,170.27/3,706.68
  6. Step 6: Final answer
    x = 2,596.17

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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.