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Finding the Fourth Proportional to 3,922.34, 5,872.14 and 3,054.02

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Solution

The fourth proportional to 3,922.34, 5,872.14 and 3,054.02 is: 4,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.34 : 5,872.14 = 3,054.02 : x
  2. Step 2: Convert to fraction form
    3,922.34/5,872.14 = 3,054.02/x
  3. Step 3: Cross multiply
    3,922.34x = 5,872.14 × 3,054.02
  4. Step 4: Simplify right side
    3,922.34x = 17,933,633.00
  5. Step 5: Solve for x
    x = 17,933,633.00/3,922.34
  6. Step 6: Final answer
    x = 4,572.18

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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.