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Finding the Fourth Proportional to 3,472.20, 5,208.26 and 875.14

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Solution

The fourth proportional to 3,472.20, 5,208.26 and 875.14 is: 1,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.20 : 5,208.26 = 875.14 : x
  2. Step 2: Convert to fraction form
    3,472.20/5,208.26 = 875.14/x
  3. Step 3: Cross multiply
    3,472.20x = 5,208.26 × 875.14
  4. Step 4: Simplify right side
    3,472.20x = 4,557,939.26
  5. Step 5: Solve for x
    x = 4,557,939.26/3,472.20
  6. Step 6: Final answer
    x = 1,312.69

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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.