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Finding the Fourth Proportional to 3,593.60, 5,389.92 and 996.32

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Solution

The fourth proportional to 3,593.60, 5,389.92 and 996.32 is: 1,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.60 : 5,389.92 = 996.32 : x
  2. Step 2: Convert to fraction form
    3,593.60/5,389.92 = 996.32/x
  3. Step 3: Cross multiply
    3,593.60x = 5,389.92 × 996.32
  4. Step 4: Simplify right side
    3,593.60x = 5,370,085.09
  5. Step 5: Solve for x
    x = 5,370,085.09/3,593.60
  6. Step 6: Final answer
    x = 1,494.35

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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.