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Finding the Fourth Proportional to 4,836.31, 7,256.52 and 2,642.48

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Solution

The fourth proportional to 4,836.31, 7,256.52 and 2,642.48 is: 3,964.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,836.31 : 7,256.52 = 2,642.48 : x
  2. Step 2: Convert to fraction form
    4,836.31/7,256.52 = 2,642.48/x
  3. Step 3: Cross multiply
    4,836.31x = 7,256.52 × 2,642.48
  4. Step 4: Simplify right side
    4,836.31x = 19,175,159.47
  5. Step 5: Solve for x
    x = 19,175,159.47/4,836.31
  6. Step 6: Final answer
    x = 3,964.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.