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Finding the Fourth Proportional to 3,816.84, 5,267.48 and 2,138.16

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Solution

The fourth proportional to 3,816.84, 5,267.48 and 2,138.16 is: 2,950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.84 : 5,267.48 = 2,138.16 : x
  2. Step 2: Convert to fraction form
    3,816.84/5,267.48 = 2,138.16/x
  3. Step 3: Cross multiply
    3,816.84x = 5,267.48 × 2,138.16
  4. Step 4: Simplify right side
    3,816.84x = 11,262,715.04
  5. Step 5: Solve for x
    x = 11,262,715.04/3,816.84
  6. Step 6: Final answer
    x = 2,950.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.