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Finding the Fourth Proportional to 3,838.80, 5,285.76 and 2,896.08

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Solution

The fourth proportional to 3,838.80, 5,285.76 and 2,896.08 is: 3,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.80 : 5,285.76 = 2,896.08 : x
  2. Step 2: Convert to fraction form
    3,838.80/5,285.76 = 2,896.08/x
  3. Step 3: Cross multiply
    3,838.80x = 5,285.76 × 2,896.08
  4. Step 4: Simplify right side
    3,838.80x = 15,307,983.82
  5. Step 5: Solve for x
    x = 15,307,983.82/3,838.80
  6. Step 6: Final answer
    x = 3,987.70

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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.