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Finding the Fourth Proportional to 3,594.12, 5,391.20 and 997.08

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Solution

The fourth proportional to 3,594.12, 5,391.20 and 997.08 is: 1,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.12 : 5,391.20 = 997.08 : x
  2. Step 2: Convert to fraction form
    3,594.12/5,391.20 = 997.08/x
  3. Step 3: Cross multiply
    3,594.12x = 5,391.20 × 997.08
  4. Step 4: Simplify right side
    3,594.12x = 5,375,457.70
  5. Step 5: Solve for x
    x = 5,375,457.70/3,594.12
  6. Step 6: Final answer
    x = 1,495.63

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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.