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Finding the Fourth Proportional to 4,963.80, 6,848.58 and 2,867.56

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Solution

The fourth proportional to 4,963.80, 6,848.58 and 2,867.56 is: 3,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.80 : 6,848.58 = 2,867.56 : x
  2. Step 2: Convert to fraction form
    4,963.80/6,848.58 = 2,867.56/x
  3. Step 3: Cross multiply
    4,963.80x = 6,848.58 × 2,867.56
  4. Step 4: Simplify right side
    4,963.80x = 19,638,714.06
  5. Step 5: Solve for x
    x = 19,638,714.06/4,963.80
  6. Step 6: Final answer
    x = 3,956.39

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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.