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Finding the Fourth Proportional to 5,597.82, 8,400.19 and 3,258.87

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Solution

The fourth proportional to 5,597.82, 8,400.19 and 3,258.87 is: 4,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.82 : 8,400.19 = 3,258.87 : x
  2. Step 2: Convert to fraction form
    5,597.82/8,400.19 = 3,258.87/x
  3. Step 3: Cross multiply
    5,597.82x = 8,400.19 × 3,258.87
  4. Step 4: Simplify right side
    5,597.82x = 27,375,127.19
  5. Step 5: Solve for x
    x = 27,375,127.19/5,597.82
  6. Step 6: Final answer
    x = 4,890.32

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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.