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Finding the Fourth Proportional to 3,892.65, 5,359.30 and 3,465.24

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Solution

The fourth proportional to 3,892.65, 5,359.30 and 3,465.24 is: 4,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.65 : 5,359.30 = 3,465.24 : x
  2. Step 2: Convert to fraction form
    3,892.65/5,359.30 = 3,465.24/x
  3. Step 3: Cross multiply
    3,892.65x = 5,359.30 × 3,465.24
  4. Step 4: Simplify right side
    3,892.65x = 18,571,260.73
  5. Step 5: Solve for x
    x = 18,571,260.73/3,892.65
  6. Step 6: Final answer
    x = 4,770.85

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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.