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Finding the Fourth Proportional to 3,444.80, 5,167.68 and 1,470.56

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Solution

The fourth proportional to 3,444.80, 5,167.68 and 1,470.56 is: 2,206.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.80 : 5,167.68 = 1,470.56 : x
  2. Step 2: Convert to fraction form
    3,444.80/5,167.68 = 1,470.56/x
  3. Step 3: Cross multiply
    3,444.80x = 5,167.68 × 1,470.56
  4. Step 4: Simplify right side
    3,444.80x = 7,599,383.50
  5. Step 5: Solve for x
    x = 7,599,383.50/3,444.80
  6. Step 6: Final answer
    x = 2,206.04

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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.