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Finding the Fourth Proportional to 3,358.24, 5,032.08 and 2,835.80

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Solution

The fourth proportional to 3,358.24, 5,032.08 and 2,835.80 is: 4,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.24 : 5,032.08 = 2,835.80 : x
  2. Step 2: Convert to fraction form
    3,358.24/5,032.08 = 2,835.80/x
  3. Step 3: Cross multiply
    3,358.24x = 5,032.08 × 2,835.80
  4. Step 4: Simplify right side
    3,358.24x = 14,269,972.46
  5. Step 5: Solve for x
    x = 14,269,972.46/3,358.24
  6. Step 6: Final answer
    x = 4,249.24

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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.