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Finding the Fourth Proportional to 3,432.67, 4,736.68 and 2,016.39

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Solution

The fourth proportional to 3,432.67, 4,736.68 and 2,016.39 is: 2,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.67 : 4,736.68 = 2,016.39 : x
  2. Step 2: Convert to fraction form
    3,432.67/4,736.68 = 2,016.39/x
  3. Step 3: Cross multiply
    3,432.67x = 4,736.68 × 2,016.39
  4. Step 4: Simplify right side
    3,432.67x = 9,550,994.19
  5. Step 5: Solve for x
    x = 9,550,994.19/3,432.67
  6. Step 6: Final answer
    x = 2,782.38

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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.