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Finding the Fourth Proportional to 3,908.20, 5,395.50 and 2,656

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Solution

The fourth proportional to 3,908.20, 5,395.50 and 2,656 is: 3,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.20 : 5,395.50 = 2,656 : x
  2. Step 2: Convert to fraction form
    3,908.20/5,395.50 = 2,656/x
  3. Step 3: Cross multiply
    3,908.20x = 5,395.50 × 2,656
  4. Step 4: Simplify right side
    3,908.20x = 14,330,448
  5. Step 5: Solve for x
    x = 14,330,448/3,908.20
  6. Step 6: Final answer
    x = 3,666.76

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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.