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Finding the Fourth Proportional to 5,159.73, 7,734.06 and 2,383.17

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Solution

The fourth proportional to 5,159.73, 7,734.06 and 2,383.17 is: 3,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.73 : 7,734.06 = 2,383.17 : x
  2. Step 2: Convert to fraction form
    5,159.73/7,734.06 = 2,383.17/x
  3. Step 3: Cross multiply
    5,159.73x = 7,734.06 × 2,383.17
  4. Step 4: Simplify right side
    5,159.73x = 18,431,579.77
  5. Step 5: Solve for x
    x = 18,431,579.77/5,159.73
  6. Step 6: Final answer
    x = 3,572.20

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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.