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Finding the Fourth Proportional to 5,891.16, 8,836.74 and 2,382.72

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Solution

The fourth proportional to 5,891.16, 8,836.74 and 2,382.72 is: 3,574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.16 : 8,836.74 = 2,382.72 : x
  2. Step 2: Convert to fraction form
    5,891.16/8,836.74 = 2,382.72/x
  3. Step 3: Cross multiply
    5,891.16x = 8,836.74 × 2,382.72
  4. Step 4: Simplify right side
    5,891.16x = 21,055,477.13
  5. Step 5: Solve for x
    x = 21,055,477.13/5,891.16
  6. Step 6: Final answer
    x = 3,574.08

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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.