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Finding the Fourth Proportional to 3,093.52, 4,637.84 and 1,532.42

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Solution

The fourth proportional to 3,093.52, 4,637.84 and 1,532.42 is: 2,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.52 : 4,637.84 = 1,532.42 : x
  2. Step 2: Convert to fraction form
    3,093.52/4,637.84 = 1,532.42/x
  3. Step 3: Cross multiply
    3,093.52x = 4,637.84 × 1,532.42
  4. Step 4: Simplify right side
    3,093.52x = 7,107,118.77
  5. Step 5: Solve for x
    x = 7,107,118.77/3,093.52
  6. Step 6: Final answer
    x = 2,297.42

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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.