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Finding the Fourth Proportional to 3,472.91, 5,209.40 and 875.85

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Solution

The fourth proportional to 3,472.91, 5,209.40 and 875.85 is: 1,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.91 : 5,209.40 = 875.85 : x
  2. Step 2: Convert to fraction form
    3,472.91/5,209.40 = 875.85/x
  3. Step 3: Cross multiply
    3,472.91x = 5,209.40 × 875.85
  4. Step 4: Simplify right side
    3,472.91x = 4,562,652.99
  5. Step 5: Solve for x
    x = 4,562,652.99/3,472.91
  6. Step 6: Final answer
    x = 1,313.78

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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.