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Finding the Fourth Proportional to 3,864.10, 5,796.15 and 1,920.10

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Solution

The fourth proportional to 3,864.10, 5,796.15 and 1,920.10 is: 2,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.10 : 5,796.15 = 1,920.10 : x
  2. Step 2: Convert to fraction form
    3,864.10/5,796.15 = 1,920.10/x
  3. Step 3: Cross multiply
    3,864.10x = 5,796.15 × 1,920.10
  4. Step 4: Simplify right side
    3,864.10x = 11,129,187.62
  5. Step 5: Solve for x
    x = 11,129,187.62/3,864.10
  6. Step 6: Final answer
    x = 2,880.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.