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Finding the Fourth Proportional to 5,177.07, 7,144.16 and 2,819.16

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Solution

The fourth proportional to 5,177.07, 7,144.16 and 2,819.16 is: 3,890.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.07 : 7,144.16 = 2,819.16 : x
  2. Step 2: Convert to fraction form
    5,177.07/7,144.16 = 2,819.16/x
  3. Step 3: Cross multiply
    5,177.07x = 7,144.16 × 2,819.16
  4. Step 4: Simplify right side
    5,177.07x = 20,140,530.11
  5. Step 5: Solve for x
    x = 20,140,530.11/5,177.07
  6. Step 6: Final answer
    x = 3,890.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.