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Finding the Fourth Proportional to 3,462.86, 5,195.50 and 1,516.43

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Solution

The fourth proportional to 3,462.86, 5,195.50 and 1,516.43 is: 2,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.86 : 5,195.50 = 1,516.43 : x
  2. Step 2: Convert to fraction form
    3,462.86/5,195.50 = 1,516.43/x
  3. Step 3: Cross multiply
    3,462.86x = 5,195.50 × 1,516.43
  4. Step 4: Simplify right side
    3,462.86x = 7,878,582.30
  5. Step 5: Solve for x
    x = 7,878,582.30/3,462.86
  6. Step 6: Final answer
    x = 2,275.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.