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Finding the Fourth Proportional to 3,927.42, 5,891.40 and 1,330.02

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Solution

The fourth proportional to 3,927.42, 5,891.40 and 1,330.02 is: 1,995.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.42 : 5,891.40 = 1,330.02 : x
  2. Step 2: Convert to fraction form
    3,927.42/5,891.40 = 1,330.02/x
  3. Step 3: Cross multiply
    3,927.42x = 5,891.40 × 1,330.02
  4. Step 4: Simplify right side
    3,927.42x = 7,835,679.83
  5. Step 5: Solve for x
    x = 7,835,679.83/3,927.42
  6. Step 6: Final answer
    x = 1,995.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.