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Finding the Fourth Proportional to 5,983.12, 8,257.37 and 3,465.21

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Solution

The fourth proportional to 5,983.12, 8,257.37 and 3,465.21 is: 4,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.12 : 8,257.37 = 3,465.21 : x
  2. Step 2: Convert to fraction form
    5,983.12/8,257.37 = 3,465.21/x
  3. Step 3: Cross multiply
    5,983.12x = 8,257.37 × 3,465.21
  4. Step 4: Simplify right side
    5,983.12x = 28,613,521.10
  5. Step 5: Solve for x
    x = 28,613,521.10/5,983.12
  6. Step 6: Final answer
    x = 4,782.37

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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.