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Finding the Fourth Proportional to 3,645.68, 5,470.44 and 1,697.36

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Solution

The fourth proportional to 3,645.68, 5,470.44 and 1,697.36 is: 2,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.68 : 5,470.44 = 1,697.36 : x
  2. Step 2: Convert to fraction form
    3,645.68/5,470.44 = 1,697.36/x
  3. Step 3: Cross multiply
    3,645.68x = 5,470.44 × 1,697.36
  4. Step 4: Simplify right side
    3,645.68x = 9,285,306.04
  5. Step 5: Solve for x
    x = 9,285,306.04/3,645.68
  6. Step 6: Final answer
    x = 2,546.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.