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Finding the Fourth Proportional to 3,855.36, 5,320.29 and 2,153.82

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Solution

The fourth proportional to 3,855.36, 5,320.29 and 2,153.82 is: 2,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.36 : 5,320.29 = 2,153.82 : x
  2. Step 2: Convert to fraction form
    3,855.36/5,320.29 = 2,153.82/x
  3. Step 3: Cross multiply
    3,855.36x = 5,320.29 × 2,153.82
  4. Step 4: Simplify right side
    3,855.36x = 11,458,947.01
  5. Step 5: Solve for x
    x = 11,458,947.01/3,855.36
  6. Step 6: Final answer
    x = 2,972.21

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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.