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Finding the Fourth Proportional to 3,920.65, 5,410.49 and 2,152.25

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Solution

The fourth proportional to 3,920.65, 5,410.49 and 2,152.25 is: 2,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.65 : 5,410.49 = 2,152.25 : x
  2. Step 2: Convert to fraction form
    3,920.65/5,410.49 = 2,152.25/x
  3. Step 3: Cross multiply
    3,920.65x = 5,410.49 × 2,152.25
  4. Step 4: Simplify right side
    3,920.65x = 11,644,727.10
  5. Step 5: Solve for x
    x = 11,644,727.10/3,920.65
  6. Step 6: Final answer
    x = 2,970.10

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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.