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Finding the Fourth Proportional to 3,816.50, 5,266.77 and 2,160.50

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Solution

The fourth proportional to 3,816.50, 5,266.77 and 2,160.50 is: 2,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.50 : 5,266.77 = 2,160.50 : x
  2. Step 2: Convert to fraction form
    3,816.50/5,266.77 = 2,160.50/x
  3. Step 3: Cross multiply
    3,816.50x = 5,266.77 × 2,160.50
  4. Step 4: Simplify right side
    3,816.50x = 11,378,856.59
  5. Step 5: Solve for x
    x = 11,378,856.59/3,816.50
  6. Step 6: Final answer
    x = 2,981.49

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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.