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Finding the Fourth Proportional to 3,594.55, 5,391.83 and 997.49

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Solution

The fourth proportional to 3,594.55, 5,391.83 and 997.49 is: 1,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.55 : 5,391.83 = 997.49 : x
  2. Step 2: Convert to fraction form
    3,594.55/5,391.83 = 997.49/x
  3. Step 3: Cross multiply
    3,594.55x = 5,391.83 × 997.49
  4. Step 4: Simplify right side
    3,594.55x = 5,378,296.51
  5. Step 5: Solve for x
    x = 5,378,296.51/3,594.55
  6. Step 6: Final answer
    x = 1,496.24

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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.