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Finding the Fourth Proportional to 4,164.88, 5,747.34 and 2,487.40

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Solution

The fourth proportional to 4,164.88, 5,747.34 and 2,487.40 is: 3,432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.88 : 5,747.34 = 2,487.40 : x
  2. Step 2: Convert to fraction form
    4,164.88/5,747.34 = 2,487.40/x
  3. Step 3: Cross multiply
    4,164.88x = 5,747.34 × 2,487.40
  4. Step 4: Simplify right side
    4,164.88x = 14,295,933.52
  5. Step 5: Solve for x
    x = 14,295,933.52/4,164.88
  6. Step 6: Final answer
    x = 3,432.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.