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Finding the Fourth Proportional to 5,297.91, 7,314.48 and 3,410.21

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Solution

The fourth proportional to 5,297.91, 7,314.48 and 3,410.21 is: 4,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.91 : 7,314.48 = 3,410.21 : x
  2. Step 2: Convert to fraction form
    5,297.91/7,314.48 = 3,410.21/x
  3. Step 3: Cross multiply
    5,297.91x = 7,314.48 × 3,410.21
  4. Step 4: Simplify right side
    5,297.91x = 24,943,876.27
  5. Step 5: Solve for x
    x = 24,943,876.27/5,297.91
  6. Step 6: Final answer
    x = 4,708.25

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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.