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Finding the Fourth Proportional to 4,338.95, 5,964.63 and 4,311.62

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Solution

The fourth proportional to 4,338.95, 5,964.63 and 4,311.62 is: 5,927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.95 : 5,964.63 = 4,311.62 : x
  2. Step 2: Convert to fraction form
    4,338.95/5,964.63 = 4,311.62/x
  3. Step 3: Cross multiply
    4,338.95x = 5,964.63 × 4,311.62
  4. Step 4: Simplify right side
    4,338.95x = 25,717,188.18
  5. Step 5: Solve for x
    x = 25,717,188.18/4,338.95
  6. Step 6: Final answer
    x = 5,927.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.