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Finding the Fourth Proportional to 3,484.98, 5,227.40 and 1,404.92

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Solution

The fourth proportional to 3,484.98, 5,227.40 and 1,404.92 is: 2,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.98 : 5,227.40 = 1,404.92 : x
  2. Step 2: Convert to fraction form
    3,484.98/5,227.40 = 1,404.92/x
  3. Step 3: Cross multiply
    3,484.98x = 5,227.40 × 1,404.92
  4. Step 4: Simplify right side
    3,484.98x = 7,344,084.85
  5. Step 5: Solve for x
    x = 7,344,084.85/3,484.98
  6. Step 6: Final answer
    x = 2,107.35

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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.