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Finding the Fourth Proportional to 5,216.87, 7,197.50 and 2,977.13

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Solution

The fourth proportional to 5,216.87, 7,197.50 and 2,977.13 is: 4,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.87 : 7,197.50 = 2,977.13 : x
  2. Step 2: Convert to fraction form
    5,216.87/7,197.50 = 2,977.13/x
  3. Step 3: Cross multiply
    5,216.87x = 7,197.50 × 2,977.13
  4. Step 4: Simplify right side
    5,216.87x = 21,427,878.29
  5. Step 5: Solve for x
    x = 21,427,878.29/5,216.87
  6. Step 6: Final answer
    x = 4,107.42

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