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Finding the Fourth Proportional to 3,769.95, 5,202.59 and 2,277.66

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Solution

The fourth proportional to 3,769.95, 5,202.59 and 2,277.66 is: 3,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.95 : 5,202.59 = 2,277.66 : x
  2. Step 2: Convert to fraction form
    3,769.95/5,202.59 = 2,277.66/x
  3. Step 3: Cross multiply
    3,769.95x = 5,202.59 × 2,277.66
  4. Step 4: Simplify right side
    3,769.95x = 11,849,719.75
  5. Step 5: Solve for x
    x = 11,849,719.75/3,769.95
  6. Step 6: Final answer
    x = 3,143.20

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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.