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Finding the Fourth Proportional to 5,521.86, 8,282.88 and 1,824.48

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Solution

The fourth proportional to 5,521.86, 8,282.88 and 1,824.48 is: 2,736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,521.86 : 8,282.88 = 1,824.48 : x
  2. Step 2: Convert to fraction form
    5,521.86/8,282.88 = 1,824.48/x
  3. Step 3: Cross multiply
    5,521.86x = 8,282.88 × 1,824.48
  4. Step 4: Simplify right side
    5,521.86x = 15,111,948.90
  5. Step 5: Solve for x
    x = 15,111,948.90/5,521.86
  6. Step 6: Final answer
    x = 2,736.75

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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.