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Finding the Fourth Proportional to 3,855.66, 5,320.84 and 2,087.28

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Solution

The fourth proportional to 3,855.66, 5,320.84 and 2,087.28 is: 2,880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.66 : 5,320.84 = 2,087.28 : x
  2. Step 2: Convert to fraction form
    3,855.66/5,320.84 = 2,087.28/x
  3. Step 3: Cross multiply
    3,855.66x = 5,320.84 × 2,087.28
  4. Step 4: Simplify right side
    3,855.66x = 11,106,082.92
  5. Step 5: Solve for x
    x = 11,106,082.92/3,855.66
  6. Step 6: Final answer
    x = 2,880.46

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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.