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Finding the Fourth Proportional to 3,462.11, 5,193.17 and 1,514.46

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Solution

The fourth proportional to 3,462.11, 5,193.17 and 1,514.46 is: 2,271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.11 : 5,193.17 = 1,514.46 : x
  2. Step 2: Convert to fraction form
    3,462.11/5,193.17 = 1,514.46/x
  3. Step 3: Cross multiply
    3,462.11x = 5,193.17 × 1,514.46
  4. Step 4: Simplify right side
    3,462.11x = 7,864,840.67
  5. Step 5: Solve for x
    x = 7,864,840.67/3,462.11
  6. Step 6: Final answer
    x = 2,271.69

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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.