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Finding the Fourth Proportional to 3,776.12, 5,665 and 1,143.57

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Solution

The fourth proportional to 3,776.12, 5,665 and 1,143.57 is: 1,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.12 : 5,665 = 1,143.57 : x
  2. Step 2: Convert to fraction form
    3,776.12/5,665 = 1,143.57/x
  3. Step 3: Cross multiply
    3,776.12x = 5,665 × 1,143.57
  4. Step 4: Simplify right side
    3,776.12x = 6,478,324.05
  5. Step 5: Solve for x
    x = 6,478,324.05/3,776.12
  6. Step 6: Final answer
    x = 1,715.60

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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.