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Finding the Fourth Proportional to 5,585, 7,694.62 and 4,321.68

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Solution

The fourth proportional to 5,585, 7,694.62 and 4,321.68 is: 5,954.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585 : 7,694.62 = 4,321.68 : x
  2. Step 2: Convert to fraction form
    5,585/7,694.62 = 4,321.68/x
  3. Step 3: Cross multiply
    5,585x = 7,694.62 × 4,321.68
  4. Step 4: Simplify right side
    5,585x = 33,253,685.36
  5. Step 5: Solve for x
    x = 33,253,685.36/5,585
  6. Step 6: Final answer
    x = 5,954.11

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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.