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Finding the Fourth Proportional to 5,216.18, 7,199 and 2,977.54

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Solution

The fourth proportional to 5,216.18, 7,199 and 2,977.54 is: 4,109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.18 : 7,199 = 2,977.54 : x
  2. Step 2: Convert to fraction form
    5,216.18/7,199 = 2,977.54/x
  3. Step 3: Cross multiply
    5,216.18x = 7,199 × 2,977.54
  4. Step 4: Simplify right side
    5,216.18x = 21,435,310.46
  5. Step 5: Solve for x
    x = 21,435,310.46/5,216.18
  6. Step 6: Final answer
    x = 4,109.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.