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Finding the Fourth Proportional to 3,952.72, 5,454.78 and 2,184.34

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Solution

The fourth proportional to 3,952.72, 5,454.78 and 2,184.34 is: 3,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.72 : 5,454.78 = 2,184.34 : x
  2. Step 2: Convert to fraction form
    3,952.72/5,454.78 = 2,184.34/x
  3. Step 3: Cross multiply
    3,952.72x = 5,454.78 × 2,184.34
  4. Step 4: Simplify right side
    3,952.72x = 11,915,094.15
  5. Step 5: Solve for x
    x = 11,915,094.15/3,952.72
  6. Step 6: Final answer
    x = 3,014.40

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Why These Related Problems?

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