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Finding the Fourth Proportional to 3,896.77, 5,377 and 2,303.49

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Solution

The fourth proportional to 3,896.77, 5,377 and 2,303.49 is: 3,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.77 : 5,377 = 2,303.49 : x
  2. Step 2: Convert to fraction form
    3,896.77/5,377 = 2,303.49/x
  3. Step 3: Cross multiply
    3,896.77x = 5,377 × 2,303.49
  4. Step 4: Simplify right side
    3,896.77x = 12,385,865.73
  5. Step 5: Solve for x
    x = 12,385,865.73/3,896.77
  6. Step 6: Final answer
    x = 3,178.50

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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.