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Finding the Fourth Proportional to 3,920.80, 5,410.79 and 2,152.40

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Solution

The fourth proportional to 3,920.80, 5,410.79 and 2,152.40 is: 2,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.80 : 5,410.79 = 2,152.40 : x
  2. Step 2: Convert to fraction form
    3,920.80/5,410.79 = 2,152.40/x
  3. Step 3: Cross multiply
    3,920.80x = 5,410.79 × 2,152.40
  4. Step 4: Simplify right side
    3,920.80x = 11,646,184.40
  5. Step 5: Solve for x
    x = 11,646,184.40/3,920.80
  6. Step 6: Final answer
    x = 2,970.36

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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.