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Finding the Fourth Proportional to 3,952.46, 5,454.67 and 2,184.02

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Solution

The fourth proportional to 3,952.46, 5,454.67 and 2,184.02 is: 3,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.46 : 5,454.67 = 2,184.02 : x
  2. Step 2: Convert to fraction form
    3,952.46/5,454.67 = 2,184.02/x
  3. Step 3: Cross multiply
    3,952.46x = 5,454.67 × 2,184.02
  4. Step 4: Simplify right side
    3,952.46x = 11,913,108.37
  5. Step 5: Solve for x
    x = 11,913,108.37/3,952.46
  6. Step 6: Final answer
    x = 3,014.10

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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.