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Finding the Fourth Proportional to 3,952.94, 5,455.16 and 2,184.66

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Solution

The fourth proportional to 3,952.94, 5,455.16 and 2,184.66 is: 3,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.94 : 5,455.16 = 2,184.66 : x
  2. Step 2: Convert to fraction form
    3,952.94/5,455.16 = 2,184.66/x
  3. Step 3: Cross multiply
    3,952.94x = 5,455.16 × 2,184.66
  4. Step 4: Simplify right side
    3,952.94x = 11,917,669.85
  5. Step 5: Solve for x
    x = 11,917,669.85/3,952.94
  6. Step 6: Final answer
    x = 3,014.89

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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.