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Finding the Fourth Proportional to 3,902.60, 5,854.22 and 1,305.56

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Solution

The fourth proportional to 3,902.60, 5,854.22 and 1,305.56 is: 1,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.60 : 5,854.22 = 1,305.56 : x
  2. Step 2: Convert to fraction form
    3,902.60/5,854.22 = 1,305.56/x
  3. Step 3: Cross multiply
    3,902.60x = 5,854.22 × 1,305.56
  4. Step 4: Simplify right side
    3,902.60x = 7,643,035.46
  5. Step 5: Solve for x
    x = 7,643,035.46/3,902.60
  6. Step 6: Final answer
    x = 1,958.45

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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.