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Finding the Fourth Proportional to 3,952.94, 5,455.01 and 2,184.50

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Solution

The fourth proportional to 3,952.94, 5,455.01 and 2,184.50 is: 3,014.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.94 : 5,455.01 = 2,184.50 : x
  2. Step 2: Convert to fraction form
    3,952.94/5,455.01 = 2,184.50/x
  3. Step 3: Cross multiply
    3,952.94x = 5,455.01 × 2,184.50
  4. Step 4: Simplify right side
    3,952.94x = 11,916,431.15
  5. Step 5: Solve for x
    x = 11,916,431.15/3,952.94
  6. Step 6: Final answer
    x = 3,014.58

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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.