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Finding the Fourth Proportional to 3,596.86, 5,396.03 and 1,516.87

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Solution

The fourth proportional to 3,596.86, 5,396.03 and 1,516.87 is: 2,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.86 : 5,396.03 = 1,516.87 : x
  2. Step 2: Convert to fraction form
    3,596.86/5,396.03 = 1,516.87/x
  3. Step 3: Cross multiply
    3,596.86x = 5,396.03 × 1,516.87
  4. Step 4: Simplify right side
    3,596.86x = 8,185,076.03
  5. Step 5: Solve for x
    x = 8,185,076.03/3,596.86
  6. Step 6: Final answer
    x = 2,275.62

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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.