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Finding the Fourth Proportional to 3,860.16, 5,784.84 and 2,814

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Solution

The fourth proportional to 3,860.16, 5,784.84 and 2,814 is: 4,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.16 : 5,784.84 = 2,814 : x
  2. Step 2: Convert to fraction form
    3,860.16/5,784.84 = 2,814/x
  3. Step 3: Cross multiply
    3,860.16x = 5,784.84 × 2,814
  4. Step 4: Simplify right side
    3,860.16x = 16,278,539.76
  5. Step 5: Solve for x
    x = 16,278,539.76/3,860.16
  6. Step 6: Final answer
    x = 4,217.06

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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.