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Finding the Fourth Proportional to 3,493.72, 5,240.57 and 896.66

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Solution

The fourth proportional to 3,493.72, 5,240.57 and 896.66 is: 1,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.72 : 5,240.57 = 896.66 : x
  2. Step 2: Convert to fraction form
    3,493.72/5,240.57 = 896.66/x
  3. Step 3: Cross multiply
    3,493.72x = 5,240.57 × 896.66
  4. Step 4: Simplify right side
    3,493.72x = 4,698,983.29
  5. Step 5: Solve for x
    x = 4,698,983.29/3,493.72
  6. Step 6: Final answer
    x = 1,344.98

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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.