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Finding the Fourth Proportional to 4,350.84, 6,522.42 and 2,523

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Solution

The fourth proportional to 4,350.84, 6,522.42 and 2,523 is: 3,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350.84 : 6,522.42 = 2,523 : x
  2. Step 2: Convert to fraction form
    4,350.84/6,522.42 = 2,523/x
  3. Step 3: Cross multiply
    4,350.84x = 6,522.42 × 2,523
  4. Step 4: Simplify right side
    4,350.84x = 16,456,065.66
  5. Step 5: Solve for x
    x = 16,456,065.66/4,350.84
  6. Step 6: Final answer
    x = 3,782.27

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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.