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Finding the Fourth Proportional to 5,288.21, 7,311.41 and 5,055.84

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Solution

The fourth proportional to 5,288.21, 7,311.41 and 5,055.84 is: 6,990.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.21 : 7,311.41 = 5,055.84 : x
  2. Step 2: Convert to fraction form
    5,288.21/7,311.41 = 5,055.84/x
  3. Step 3: Cross multiply
    5,288.21x = 7,311.41 × 5,055.84
  4. Step 4: Simplify right side
    5,288.21x = 36,965,361.82
  5. Step 5: Solve for x
    x = 36,965,361.82/5,288.21
  6. Step 6: Final answer
    x = 6,990.14

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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.