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Finding the Fourth Proportional to 3,596.80, 5,397.29 and 1,516.65

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Solution

The fourth proportional to 3,596.80, 5,397.29 and 1,516.65 is: 2,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.80 : 5,397.29 = 1,516.65 : x
  2. Step 2: Convert to fraction form
    3,596.80/5,397.29 = 1,516.65/x
  3. Step 3: Cross multiply
    3,596.80x = 5,397.29 × 1,516.65
  4. Step 4: Simplify right side
    3,596.80x = 8,185,799.88
  5. Step 5: Solve for x
    x = 8,185,799.88/3,596.80
  6. Step 6: Final answer
    x = 2,275.86

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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.