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Finding the Fourth Proportional to 3,952.91, 5,454.80 and 2,184.40

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Solution

The fourth proportional to 3,952.91, 5,454.80 and 2,184.40 is: 3,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.91 : 5,454.80 = 2,184.40 : x
  2. Step 2: Convert to fraction form
    3,952.91/5,454.80 = 2,184.40/x
  3. Step 3: Cross multiply
    3,952.91x = 5,454.80 × 2,184.40
  4. Step 4: Simplify right side
    3,952.91x = 11,915,461.02
  5. Step 5: Solve for x
    x = 11,915,461.02/3,952.91
  6. Step 6: Final answer
    x = 3,014.35

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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.