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Finding the Fourth Proportional to 5,097.65, 7,025.22 and 3,976.80

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Solution

The fourth proportional to 5,097.65, 7,025.22 and 3,976.80 is: 5,480.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.65 : 7,025.22 = 3,976.80 : x
  2. Step 2: Convert to fraction form
    5,097.65/7,025.22 = 3,976.80/x
  3. Step 3: Cross multiply
    5,097.65x = 7,025.22 × 3,976.80
  4. Step 4: Simplify right side
    5,097.65x = 27,937,894.90
  5. Step 5: Solve for x
    x = 27,937,894.90/5,097.65
  6. Step 6: Final answer
    x = 5,480.55

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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.