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Finding the Fourth Proportional to 5,284.97, 7,925.16 and 2,819.24

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Solution

The fourth proportional to 5,284.97, 7,925.16 and 2,819.24 is: 4,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.97 : 7,925.16 = 2,819.24 : x
  2. Step 2: Convert to fraction form
    5,284.97/7,925.16 = 2,819.24/x
  3. Step 3: Cross multiply
    5,284.97x = 7,925.16 × 2,819.24
  4. Step 4: Simplify right side
    5,284.97x = 22,342,928.08
  5. Step 5: Solve for x
    x = 22,342,928.08/5,284.97
  6. Step 6: Final answer
    x = 4,227.64

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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.