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Finding the Fourth Proportional to 4,886.54, 6,743.41 and 2,648.47

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Solution

The fourth proportional to 4,886.54, 6,743.41 and 2,648.47 is: 3,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.54 : 6,743.41 = 2,648.47 : x
  2. Step 2: Convert to fraction form
    4,886.54/6,743.41 = 2,648.47/x
  3. Step 3: Cross multiply
    4,886.54x = 6,743.41 × 2,648.47
  4. Step 4: Simplify right side
    4,886.54x = 17,859,705.84
  5. Step 5: Solve for x
    x = 17,859,705.84/4,886.54
  6. Step 6: Final answer
    x = 3,654.88

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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.