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Finding the Fourth Proportional to 5,261.64, 7,895.22 and 2,143.95

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Solution

The fourth proportional to 5,261.64, 7,895.22 and 2,143.95 is: 3,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.64 : 7,895.22 = 2,143.95 : x
  2. Step 2: Convert to fraction form
    5,261.64/7,895.22 = 2,143.95/x
  3. Step 3: Cross multiply
    5,261.64x = 7,895.22 × 2,143.95
  4. Step 4: Simplify right side
    5,261.64x = 16,926,956.92
  5. Step 5: Solve for x
    x = 16,926,956.92/5,261.64
  6. Step 6: Final answer
    x = 3,217.05

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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.