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Finding the Fourth Proportional to 3,248.64, 4,848.84 and 2,859.84

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Solution

The fourth proportional to 3,248.64, 4,848.84 and 2,859.84 is: 4,268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.64 : 4,848.84 = 2,859.84 : x
  2. Step 2: Convert to fraction form
    3,248.64/4,848.84 = 2,859.84/x
  3. Step 3: Cross multiply
    3,248.64x = 4,848.84 × 2,859.84
  4. Step 4: Simplify right side
    3,248.64x = 13,866,906.59
  5. Step 5: Solve for x
    x = 13,866,906.59/3,248.64
  6. Step 6: Final answer
    x = 4,268.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.