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Finding the Fourth Proportional to 5,097.66, 7,033.20 and 2,859.24

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Solution

The fourth proportional to 5,097.66, 7,033.20 and 2,859.24 is: 3,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.66 : 7,033.20 = 2,859.24 : x
  2. Step 2: Convert to fraction form
    5,097.66/7,033.20 = 2,859.24/x
  3. Step 3: Cross multiply
    5,097.66x = 7,033.20 × 2,859.24
  4. Step 4: Simplify right side
    5,097.66x = 20,109,606.77
  5. Step 5: Solve for x
    x = 20,109,606.77/5,097.66
  6. Step 6: Final answer
    x = 3,944.87

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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.