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Finding the Fourth Proportional to 3,731.79, 5,597.22 and 1,540.23

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Solution

The fourth proportional to 3,731.79, 5,597.22 and 1,540.23 is: 2,310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.79 : 5,597.22 = 1,540.23 : x
  2. Step 2: Convert to fraction form
    3,731.79/5,597.22 = 1,540.23/x
  3. Step 3: Cross multiply
    3,731.79x = 5,597.22 × 1,540.23
  4. Step 4: Simplify right side
    3,731.79x = 8,621,006.16
  5. Step 5: Solve for x
    x = 8,621,006.16/3,731.79
  6. Step 6: Final answer
    x = 2,310.15

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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.