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Finding the Fourth Proportional to 3,771.95, 5,656.57 and 1,306.10

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Solution

The fourth proportional to 3,771.95, 5,656.57 and 1,306.10 is: 1,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.95 : 5,656.57 = 1,306.10 : x
  2. Step 2: Convert to fraction form
    3,771.95/5,656.57 = 1,306.10/x
  3. Step 3: Cross multiply
    3,771.95x = 5,656.57 × 1,306.10
  4. Step 4: Simplify right side
    3,771.95x = 7,388,046.08
  5. Step 5: Solve for x
    x = 7,388,046.08/3,771.95
  6. Step 6: Final answer
    x = 1,958.68

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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.