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Finding the Fourth Proportional to 3,443.58, 5,164 and 1,251.11

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Solution

The fourth proportional to 3,443.58, 5,164 and 1,251.11 is: 1,876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.58 : 5,164 = 1,251.11 : x
  2. Step 2: Convert to fraction form
    3,443.58/5,164 = 1,251.11/x
  3. Step 3: Cross multiply
    3,443.58x = 5,164 × 1,251.11
  4. Step 4: Simplify right side
    3,443.58x = 6,460,732.04
  5. Step 5: Solve for x
    x = 6,460,732.04/3,443.58
  6. Step 6: Final answer
    x = 1,876.17

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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.