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Finding the Fourth Proportional to 5,815.65, 8,717.83 and 2,304.50

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Solution

The fourth proportional to 5,815.65, 8,717.83 and 2,304.50 is: 3,454.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.65 : 8,717.83 = 2,304.50 : x
  2. Step 2: Convert to fraction form
    5,815.65/8,717.83 = 2,304.50/x
  3. Step 3: Cross multiply
    5,815.65x = 8,717.83 × 2,304.50
  4. Step 4: Simplify right side
    5,815.65x = 20,090,238.92
  5. Step 5: Solve for x
    x = 20,090,238.92/5,815.65
  6. Step 6: Final answer
    x = 3,454.51

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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.