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Finding the Fourth Proportional to 5,175.32, 7,143.14 and 2,938.61

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Solution

The fourth proportional to 5,175.32, 7,143.14 and 2,938.61 is: 4,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.32 : 7,143.14 = 2,938.61 : x
  2. Step 2: Convert to fraction form
    5,175.32/7,143.14 = 2,938.61/x
  3. Step 3: Cross multiply
    5,175.32x = 7,143.14 × 2,938.61
  4. Step 4: Simplify right side
    5,175.32x = 20,990,852.23
  5. Step 5: Solve for x
    x = 20,990,852.23/5,175.32
  6. Step 6: Final answer
    x = 4,055.95

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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.