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Finding the Fourth Proportional to 3,532.58, 5,298.91 and 1,067.42

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Solution

The fourth proportional to 3,532.58, 5,298.91 and 1,067.42 is: 1,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.58 : 5,298.91 = 1,067.42 : x
  2. Step 2: Convert to fraction form
    3,532.58/5,298.91 = 1,067.42/x
  3. Step 3: Cross multiply
    3,532.58x = 5,298.91 × 1,067.42
  4. Step 4: Simplify right side
    3,532.58x = 5,656,162.51
  5. Step 5: Solve for x
    x = 5,656,162.51/3,532.58
  6. Step 6: Final answer
    x = 1,601.14

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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.