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Finding the Fourth Proportional to 3,855.95, 5,321.24 and 2,154.46

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Solution

The fourth proportional to 3,855.95, 5,321.24 and 2,154.46 is: 2,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.95 : 5,321.24 = 2,154.46 : x
  2. Step 2: Convert to fraction form
    3,855.95/5,321.24 = 2,154.46/x
  3. Step 3: Cross multiply
    3,855.95x = 5,321.24 × 2,154.46
  4. Step 4: Simplify right side
    3,855.95x = 11,464,398.73
  5. Step 5: Solve for x
    x = 11,464,398.73/3,855.95
  6. Step 6: Final answer
    x = 2,973.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.