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Finding the Fourth Proportional to 5,891.65, 8,836.81 and 1,509.14

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Solution

The fourth proportional to 5,891.65, 8,836.81 and 1,509.14 is: 2,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.65 : 8,836.81 = 1,509.14 : x
  2. Step 2: Convert to fraction form
    5,891.65/8,836.81 = 1,509.14/x
  3. Step 3: Cross multiply
    5,891.65x = 8,836.81 × 1,509.14
  4. Step 4: Simplify right side
    5,891.65x = 13,335,983.44
  5. Step 5: Solve for x
    x = 13,335,983.44/5,891.65
  6. Step 6: Final answer
    x = 2,263.54

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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.