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Finding the Fourth Proportional to 4,158.95, 6,227.64 and 2,306.21

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Solution

The fourth proportional to 4,158.95, 6,227.64 and 2,306.21 is: 3,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.95 : 6,227.64 = 2,306.21 : x
  2. Step 2: Convert to fraction form
    4,158.95/6,227.64 = 2,306.21/x
  3. Step 3: Cross multiply
    4,158.95x = 6,227.64 × 2,306.21
  4. Step 4: Simplify right side
    4,158.95x = 14,362,214.51
  5. Step 5: Solve for x
    x = 14,362,214.51/4,158.95
  6. Step 6: Final answer
    x = 3,453.33

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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.