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Finding the Fourth Proportional to 3,777.17, 5,666.39 and 1,311.32

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Solution

The fourth proportional to 3,777.17, 5,666.39 and 1,311.32 is: 1,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.17 : 5,666.39 = 1,311.32 : x
  2. Step 2: Convert to fraction form
    3,777.17/5,666.39 = 1,311.32/x
  3. Step 3: Cross multiply
    3,777.17x = 5,666.39 × 1,311.32
  4. Step 4: Simplify right side
    3,777.17x = 7,430,463.06
  5. Step 5: Solve for x
    x = 7,430,463.06/3,777.17
  6. Step 6: Final answer
    x = 1,967.21

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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.