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Finding the Fourth Proportional to 5,983.80, 8,257.33 and 3,465.72

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Solution

The fourth proportional to 5,983.80, 8,257.33 and 3,465.72 is: 4,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.80 : 8,257.33 = 3,465.72 : x
  2. Step 2: Convert to fraction form
    5,983.80/8,257.33 = 3,465.72/x
  3. Step 3: Cross multiply
    5,983.80x = 8,257.33 × 3,465.72
  4. Step 4: Simplify right side
    5,983.80x = 28,617,593.73
  5. Step 5: Solve for x
    x = 28,617,593.73/5,983.80
  6. Step 6: Final answer
    x = 4,782.51

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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.