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Finding the Fourth Proportional to 3,542.85, 5,315.22 and 3,155.50

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Solution

The fourth proportional to 3,542.85, 5,315.22 and 3,155.50 is: 4,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.85 : 5,315.22 = 3,155.50 : x
  2. Step 2: Convert to fraction form
    3,542.85/5,315.22 = 3,155.50/x
  3. Step 3: Cross multiply
    3,542.85x = 5,315.22 × 3,155.50
  4. Step 4: Simplify right side
    3,542.85x = 16,772,134.36
  5. Step 5: Solve for x
    x = 16,772,134.36/3,542.85
  6. Step 6: Final answer
    x = 4,734.09

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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.