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Finding the Fourth Proportional to 5,882.40, 8,824.32 and 2,596.32

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Solution

The fourth proportional to 5,882.40, 8,824.32 and 2,596.32 is: 3,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.40 : 8,824.32 = 2,596.32 : x
  2. Step 2: Convert to fraction form
    5,882.40/8,824.32 = 2,596.32/x
  3. Step 3: Cross multiply
    5,882.40x = 8,824.32 × 2,596.32
  4. Step 4: Simplify right side
    5,882.40x = 22,910,758.50
  5. Step 5: Solve for x
    x = 22,910,758.50/5,882.40
  6. Step 6: Final answer
    x = 3,894.80

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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.