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Finding the Fourth Proportional to 3,924.40, 5,415.40 and 2,432.28

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Solution

The fourth proportional to 3,924.40, 5,415.40 and 2,432.28 is: 3,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.40 : 5,415.40 = 2,432.28 : x
  2. Step 2: Convert to fraction form
    3,924.40/5,415.40 = 2,432.28/x
  3. Step 3: Cross multiply
    3,924.40x = 5,415.40 × 2,432.28
  4. Step 4: Simplify right side
    3,924.40x = 13,171,769.11
  5. Step 5: Solve for x
    x = 13,171,769.11/3,924.40
  6. Step 6: Final answer
    x = 3,356.38

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Why These Related Problems?

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