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Finding the Fourth Proportional to 4,158.95, 6,238.42 and 2,774.99

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Solution

The fourth proportional to 4,158.95, 6,238.42 and 2,774.99 is: 4,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.95 : 6,238.42 = 2,774.99 : x
  2. Step 2: Convert to fraction form
    4,158.95/6,238.42 = 2,774.99/x
  3. Step 3: Cross multiply
    4,158.95x = 6,238.42 × 2,774.99
  4. Step 4: Simplify right side
    4,158.95x = 17,311,553.12
  5. Step 5: Solve for x
    x = 17,311,553.12/4,158.95
  6. Step 6: Final answer
    x = 4,162.48

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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.