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Finding the Fourth Proportional to 3,591.92, 4,955.70 and 2,176.14

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Solution

The fourth proportional to 3,591.92, 4,955.70 and 2,176.14 is: 3,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.92 : 4,955.70 = 2,176.14 : x
  2. Step 2: Convert to fraction form
    3,591.92/4,955.70 = 2,176.14/x
  3. Step 3: Cross multiply
    3,591.92x = 4,955.70 × 2,176.14
  4. Step 4: Simplify right side
    3,591.92x = 10,784,297.00
  5. Step 5: Solve for x
    x = 10,784,297.00/3,591.92
  6. Step 6: Final answer
    x = 3,002.38

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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.