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Finding the Fourth Proportional to 3,605.68, 4,976.16 and 2,034.04

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Solution

The fourth proportional to 3,605.68, 4,976.16 and 2,034.04 is: 2,807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.68 : 4,976.16 = 2,034.04 : x
  2. Step 2: Convert to fraction form
    3,605.68/4,976.16 = 2,034.04/x
  3. Step 3: Cross multiply
    3,605.68x = 4,976.16 × 2,034.04
  4. Step 4: Simplify right side
    3,605.68x = 10,121,708.49
  5. Step 5: Solve for x
    x = 10,121,708.49/3,605.68
  6. Step 6: Final answer
    x = 2,807.16

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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.