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Finding the Fourth Proportional to 3,599, 5,389.98 and 2,296.52

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Solution

The fourth proportional to 3,599, 5,389.98 and 2,296.52 is: 3,439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599 : 5,389.98 = 2,296.52 : x
  2. Step 2: Convert to fraction form
    3,599/5,389.98 = 2,296.52/x
  3. Step 3: Cross multiply
    3,599x = 5,389.98 × 2,296.52
  4. Step 4: Simplify right side
    3,599x = 12,378,196.87
  5. Step 5: Solve for x
    x = 12,378,196.87/3,599
  6. Step 6: Final answer
    x = 3,439.34

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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.