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Finding the Fourth Proportional to 4,348, 5,998.38 and 2,854

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Solution

The fourth proportional to 4,348, 5,998.38 and 2,854 is: 3,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348 : 5,998.38 = 2,854 : x
  2. Step 2: Convert to fraction form
    4,348/5,998.38 = 2,854/x
  3. Step 3: Cross multiply
    4,348x = 5,998.38 × 2,854
  4. Step 4: Simplify right side
    4,348x = 17,119,376.52
  5. Step 5: Solve for x
    x = 17,119,376.52/4,348
  6. Step 6: Final answer
    x = 3,937.30

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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.