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Finding the Fourth Proportional to 5,522.39, 8,275.07 and 2,559

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Solution

The fourth proportional to 5,522.39, 8,275.07 and 2,559 is: 3,834.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.39 : 8,275.07 = 2,559 : x
  2. Step 2: Convert to fraction form
    5,522.39/8,275.07 = 2,559/x
  3. Step 3: Cross multiply
    5,522.39x = 8,275.07 × 2,559
  4. Step 4: Simplify right side
    5,522.39x = 21,175,904.13
  5. Step 5: Solve for x
    x = 21,175,904.13/5,522.39
  6. Step 6: Final answer
    x = 3,834.56

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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.