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Finding the Fourth Proportional to 3,443.60, 5,161.79 and 1,686.18

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Solution

The fourth proportional to 3,443.60, 5,161.79 and 1,686.18 is: 2,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.60 : 5,161.79 = 1,686.18 : x
  2. Step 2: Convert to fraction form
    3,443.60/5,161.79 = 1,686.18/x
  3. Step 3: Cross multiply
    3,443.60x = 5,161.79 × 1,686.18
  4. Step 4: Simplify right side
    3,443.60x = 8,703,707.06
  5. Step 5: Solve for x
    x = 8,703,707.06/3,443.60
  6. Step 6: Final answer
    x = 2,527.50

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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.