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Finding the Fourth Proportional to 3,593.64, 5,390.46 and 996.51

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Solution

The fourth proportional to 3,593.64, 5,390.46 and 996.51 is: 1,494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.64 : 5,390.46 = 996.51 : x
  2. Step 2: Convert to fraction form
    3,593.64/5,390.46 = 996.51/x
  3. Step 3: Cross multiply
    3,593.64x = 5,390.46 × 996.51
  4. Step 4: Simplify right side
    3,593.64x = 5,371,647.29
  5. Step 5: Solve for x
    x = 5,371,647.29/3,593.64
  6. Step 6: Final answer
    x = 1,494.77

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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.