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Finding the Fourth Proportional to 3,920.64, 5,410.50 and 2,152.44

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Solution

The fourth proportional to 3,920.64, 5,410.50 and 2,152.44 is: 2,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.64 : 5,410.50 = 2,152.44 : x
  2. Step 2: Convert to fraction form
    3,920.64/5,410.50 = 2,152.44/x
  3. Step 3: Cross multiply
    3,920.64x = 5,410.50 × 2,152.44
  4. Step 4: Simplify right side
    3,920.64x = 11,645,776.62
  5. Step 5: Solve for x
    x = 11,645,776.62/3,920.64
  6. Step 6: Final answer
    x = 2,970.38

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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.