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Finding the Fourth Proportional to 3,876.24, 5,811.12 and 2,334

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Solution

The fourth proportional to 3,876.24, 5,811.12 and 2,334 is: 3,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.24 : 5,811.12 = 2,334 : x
  2. Step 2: Convert to fraction form
    3,876.24/5,811.12 = 2,334/x
  3. Step 3: Cross multiply
    3,876.24x = 5,811.12 × 2,334
  4. Step 4: Simplify right side
    3,876.24x = 13,563,154.08
  5. Step 5: Solve for x
    x = 13,563,154.08/3,876.24
  6. Step 6: Final answer
    x = 3,499.05

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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.