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Finding the Fourth Proportional to 3,952.84, 5,454.84 and 2,184.40

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Solution

The fourth proportional to 3,952.84, 5,454.84 and 2,184.40 is: 3,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.84 : 5,454.84 = 2,184.40 : x
  2. Step 2: Convert to fraction form
    3,952.84/5,454.84 = 2,184.40/x
  3. Step 3: Cross multiply
    3,952.84x = 5,454.84 × 2,184.40
  4. Step 4: Simplify right side
    3,952.84x = 11,915,552.50
  5. Step 5: Solve for x
    x = 11,915,552.50/3,952.84
  6. Step 6: Final answer
    x = 3,014.43

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1.5x scale

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.