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Finding the Fourth Proportional to 5,295.84, 7,943.84 and 2,522.80

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Solution

The fourth proportional to 5,295.84, 7,943.84 and 2,522.80 is: 3,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.84 : 7,943.84 = 2,522.80 : x
  2. Step 2: Convert to fraction form
    5,295.84/7,943.84 = 2,522.80/x
  3. Step 3: Cross multiply
    5,295.84x = 7,943.84 × 2,522.80
  4. Step 4: Simplify right side
    5,295.84x = 20,040,719.55
  5. Step 5: Solve for x
    x = 20,040,719.55/5,295.84
  6. Step 6: Final answer
    x = 3,784.24

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1.5x scale

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.