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Finding the Fourth Proportional to 3,532.35, 5,298.56 and 1,067.19

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Solution

The fourth proportional to 3,532.35, 5,298.56 and 1,067.19 is: 1,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.35 : 5,298.56 = 1,067.19 : x
  2. Step 2: Convert to fraction form
    3,532.35/5,298.56 = 1,067.19/x
  3. Step 3: Cross multiply
    3,532.35x = 5,298.56 × 1,067.19
  4. Step 4: Simplify right side
    3,532.35x = 5,654,570.25
  5. Step 5: Solve for x
    x = 5,654,570.25/3,532.35
  6. Step 6: Final answer
    x = 1,600.80

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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.