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Finding the Fourth Proportional to 3,964.89, 5,977.76 and 3,697.22

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Solution

The fourth proportional to 3,964.89, 5,977.76 and 3,697.22 is: 5,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.89 : 5,977.76 = 3,697.22 : x
  2. Step 2: Convert to fraction form
    3,964.89/5,977.76 = 3,697.22/x
  3. Step 3: Cross multiply
    3,964.89x = 5,977.76 × 3,697.22
  4. Step 4: Simplify right side
    3,964.89x = 22,101,045.45
  5. Step 5: Solve for x
    x = 22,101,045.45/3,964.89
  6. Step 6: Final answer
    x = 5,574.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.