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Finding the Fourth Proportional to 3,771.95, 5,656.50 and 1,306.17

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Solution

The fourth proportional to 3,771.95, 5,656.50 and 1,306.17 is: 1,958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.95 : 5,656.50 = 1,306.17 : x
  2. Step 2: Convert to fraction form
    3,771.95/5,656.50 = 1,306.17/x
  3. Step 3: Cross multiply
    3,771.95x = 5,656.50 × 1,306.17
  4. Step 4: Simplify right side
    3,771.95x = 7,388,350.61
  5. Step 5: Solve for x
    x = 7,388,350.61/3,771.95
  6. Step 6: Final answer
    x = 1,958.76

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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.