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Finding the Fourth Proportional to 3,731.32, 5,596.18 and 1,881.88

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Solution

The fourth proportional to 3,731.32, 5,596.18 and 1,881.88 is: 2,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.32 : 5,596.18 = 1,881.88 : x
  2. Step 2: Convert to fraction form
    3,731.32/5,596.18 = 1,881.88/x
  3. Step 3: Cross multiply
    3,731.32x = 5,596.18 × 1,881.88
  4. Step 4: Simplify right side
    3,731.32x = 10,531,339.22
  5. Step 5: Solve for x
    x = 10,531,339.22/3,731.32
  6. Step 6: Final answer
    x = 2,822.42

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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.