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Finding the Fourth Proportional to 5,890.39, 8,839.10 and 2,382.10

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Solution

The fourth proportional to 5,890.39, 8,839.10 and 2,382.10 is: 3,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.39 : 8,839.10 = 2,382.10 : x
  2. Step 2: Convert to fraction form
    5,890.39/8,839.10 = 2,382.10/x
  3. Step 3: Cross multiply
    5,890.39x = 8,839.10 × 2,382.10
  4. Step 4: Simplify right side
    5,890.39x = 21,055,620.11
  5. Step 5: Solve for x
    x = 21,055,620.11/5,890.39
  6. Step 6: Final answer
    x = 3,574.57

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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.