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Finding the Fourth Proportional to 3,732, 5,594.08 and 2,170.88

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Solution

The fourth proportional to 3,732, 5,594.08 and 2,170.88 is: 3,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732 : 5,594.08 = 2,170.88 : x
  2. Step 2: Convert to fraction form
    3,732/5,594.08 = 2,170.88/x
  3. Step 3: Cross multiply
    3,732x = 5,594.08 × 2,170.88
  4. Step 4: Simplify right side
    3,732x = 12,144,076.39
  5. Step 5: Solve for x
    x = 12,144,076.39/3,732
  6. Step 6: Final answer
    x = 3,254.04

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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.