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Finding the Fourth Proportional to 5,216.31, 7,197.08 and 2,977.38

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Solution

The fourth proportional to 5,216.31, 7,197.08 and 2,977.38 is: 4,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.31 : 7,197.08 = 2,977.38 : x
  2. Step 2: Convert to fraction form
    5,216.31/7,197.08 = 2,977.38/x
  3. Step 3: Cross multiply
    5,216.31x = 7,197.08 × 2,977.38
  4. Step 4: Simplify right side
    5,216.31x = 21,428,427.16
  5. Step 5: Solve for x
    x = 21,428,427.16/5,216.31
  6. Step 6: Final answer
    x = 4,107.97

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1.5x scale

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.