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Finding the Fourth Proportional to 3,472.53, 5,208.61 and 875.49

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Solution

The fourth proportional to 3,472.53, 5,208.61 and 875.49 is: 1,313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.53 : 5,208.61 = 875.49 : x
  2. Step 2: Convert to fraction form
    3,472.53/5,208.61 = 875.49/x
  3. Step 3: Cross multiply
    3,472.53x = 5,208.61 × 875.49
  4. Step 4: Simplify right side
    3,472.53x = 4,560,085.97
  5. Step 5: Solve for x
    x = 4,560,085.97/3,472.53
  6. Step 6: Final answer
    x = 1,313.19

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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.