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Finding the Fourth Proportional to 3,776.40, 5,664.45 and 1,311.78

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Solution

The fourth proportional to 3,776.40, 5,664.45 and 1,311.78 is: 1,967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.40 : 5,664.45 = 1,311.78 : x
  2. Step 2: Convert to fraction form
    3,776.40/5,664.45 = 1,311.78/x
  3. Step 3: Cross multiply
    3,776.40x = 5,664.45 × 1,311.78
  4. Step 4: Simplify right side
    3,776.40x = 7,430,512.22
  5. Step 5: Solve for x
    x = 7,430,512.22/3,776.40
  6. Step 6: Final answer
    x = 1,967.62

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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.