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Finding the Fourth Proportional to 3,493.88, 5,240.70 and 896.84

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Solution

The fourth proportional to 3,493.88, 5,240.70 and 896.84 is: 1,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.88 : 5,240.70 = 896.84 : x
  2. Step 2: Convert to fraction form
    3,493.88/5,240.70 = 896.84/x
  3. Step 3: Cross multiply
    3,493.88x = 5,240.70 × 896.84
  4. Step 4: Simplify right side
    3,493.88x = 4,700,069.39
  5. Step 5: Solve for x
    x = 4,700,069.39/3,493.88
  6. Step 6: Final answer
    x = 1,345.23

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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.