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Finding the Fourth Proportional to 3,902.61, 5,853.88 and 1,305.52

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Solution

The fourth proportional to 3,902.61, 5,853.88 and 1,305.52 is: 1,958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.61 : 5,853.88 = 1,305.52 : x
  2. Step 2: Convert to fraction form
    3,902.61/5,853.88 = 1,305.52/x
  3. Step 3: Cross multiply
    3,902.61x = 5,853.88 × 1,305.52
  4. Step 4: Simplify right side
    3,902.61x = 7,642,357.42
  5. Step 5: Solve for x
    x = 7,642,357.42/3,902.61
  6. Step 6: Final answer
    x = 1,958.27

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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.