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Finding the Fourth Proportional to 3,960.02, 5,464.87 and 2,191.66

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Solution

The fourth proportional to 3,960.02, 5,464.87 and 2,191.66 is: 3,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.02 : 5,464.87 = 2,191.66 : x
  2. Step 2: Convert to fraction form
    3,960.02/5,464.87 = 2,191.66/x
  3. Step 3: Cross multiply
    3,960.02x = 5,464.87 × 2,191.66
  4. Step 4: Simplify right side
    3,960.02x = 11,977,117.84
  5. Step 5: Solve for x
    x = 11,977,117.84/3,960.02
  6. Step 6: Final answer
    x = 3,024.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.