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Finding the Fourth Proportional to 4,854, 6,698.28 and 2,758

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Solution

The fourth proportional to 4,854, 6,698.28 and 2,758 is: 3,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854 : 6,698.28 = 2,758 : x
  2. Step 2: Convert to fraction form
    4,854/6,698.28 = 2,758/x
  3. Step 3: Cross multiply
    4,854x = 6,698.28 × 2,758
  4. Step 4: Simplify right side
    4,854x = 18,473,856.24
  5. Step 5: Solve for x
    x = 18,473,856.24/4,854
  6. Step 6: Final answer
    x = 3,805.90

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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.