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Finding the Fourth Proportional to 5,324.98, 7,985.87 and 1,626.21

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Solution

The fourth proportional to 5,324.98, 7,985.87 and 1,626.21 is: 2,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.98 : 7,985.87 = 1,626.21 : x
  2. Step 2: Convert to fraction form
    5,324.98/7,985.87 = 1,626.21/x
  3. Step 3: Cross multiply
    5,324.98x = 7,985.87 × 1,626.21
  4. Step 4: Simplify right side
    5,324.98x = 12,986,701.65
  5. Step 5: Solve for x
    x = 12,986,701.65/5,324.98
  6. Step 6: Final answer
    x = 2,438.83

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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.