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Finding the Fourth Proportional to 3,855.76, 5,320.96 and 2,087.37

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Solution

The fourth proportional to 3,855.76, 5,320.96 and 2,087.37 is: 2,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.76 : 5,320.96 = 2,087.37 : x
  2. Step 2: Convert to fraction form
    3,855.76/5,320.96 = 2,087.37/x
  3. Step 3: Cross multiply
    3,855.76x = 5,320.96 × 2,087.37
  4. Step 4: Simplify right side
    3,855.76x = 11,106,807.06
  5. Step 5: Solve for x
    x = 11,106,807.06/3,855.76
  6. Step 6: Final answer
    x = 2,880.58

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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.