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Finding the Fourth Proportional to 3,594.87, 5,392.34 and 998.01

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Solution

The fourth proportional to 3,594.87, 5,392.34 and 998.01 is: 1,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.87 : 5,392.34 = 998.01 : x
  2. Step 2: Convert to fraction form
    3,594.87/5,392.34 = 998.01/x
  3. Step 3: Cross multiply
    3,594.87x = 5,392.34 × 998.01
  4. Step 4: Simplify right side
    3,594.87x = 5,381,604.25
  5. Step 5: Solve for x
    x = 5,381,604.25/3,594.87
  6. Step 6: Final answer
    x = 1,497.02

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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.