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Finding the Fourth Proportional to 3,815.65, 5,723.47 and 2,507.66

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Solution

The fourth proportional to 3,815.65, 5,723.47 and 2,507.66 is: 3,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.65 : 5,723.47 = 2,507.66 : x
  2. Step 2: Convert to fraction form
    3,815.65/5,723.47 = 2,507.66/x
  3. Step 3: Cross multiply
    3,815.65x = 5,723.47 × 2,507.66
  4. Step 4: Simplify right side
    3,815.65x = 14,352,516.78
  5. Step 5: Solve for x
    x = 14,352,516.78/3,815.65
  6. Step 6: Final answer
    x = 3,761.49

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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.