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Finding the Fourth Proportional to 5,176.24, 7,143.24 and 2,938.12

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Solution

The fourth proportional to 5,176.24, 7,143.24 and 2,938.12 is: 4,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.24 : 7,143.24 = 2,938.12 : x
  2. Step 2: Convert to fraction form
    5,176.24/7,143.24 = 2,938.12/x
  3. Step 3: Cross multiply
    5,176.24x = 7,143.24 × 2,938.12
  4. Step 4: Simplify right side
    5,176.24x = 20,987,696.31
  5. Step 5: Solve for x
    x = 20,987,696.31/5,176.24
  6. Step 6: Final answer
    x = 4,054.62

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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.