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Finding the Fourth Proportional to 3,938.61, 5,902.35 and 2,184.39

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Solution

The fourth proportional to 3,938.61, 5,902.35 and 2,184.39 is: 3,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.61 : 5,902.35 = 2,184.39 : x
  2. Step 2: Convert to fraction form
    3,938.61/5,902.35 = 2,184.39/x
  3. Step 3: Cross multiply
    3,938.61x = 5,902.35 × 2,184.39
  4. Step 4: Simplify right side
    3,938.61x = 12,893,034.32
  5. Step 5: Solve for x
    x = 12,893,034.32/3,938.61
  6. Step 6: Final answer
    x = 3,273.50

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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.