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Finding the Fourth Proportional to 3,186.95, 4,781.84 and 2,462.81

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Solution

The fourth proportional to 3,186.95, 4,781.84 and 2,462.81 is: 3,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.95 : 4,781.84 = 2,462.81 : x
  2. Step 2: Convert to fraction form
    3,186.95/4,781.84 = 2,462.81/x
  3. Step 3: Cross multiply
    3,186.95x = 4,781.84 × 2,462.81
  4. Step 4: Simplify right side
    3,186.95x = 11,776,727.15
  5. Step 5: Solve for x
    x = 11,776,727.15/3,186.95
  6. Step 6: Final answer
    x = 3,695.30

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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.