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Finding the Fourth Proportional to 3,583.98, 4,950.88 and 3,408.82

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Solution

The fourth proportional to 3,583.98, 4,950.88 and 3,408.82 is: 4,708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.98 : 4,950.88 = 3,408.82 : x
  2. Step 2: Convert to fraction form
    3,583.98/4,950.88 = 3,408.82/x
  3. Step 3: Cross multiply
    3,583.98x = 4,950.88 × 3,408.82
  4. Step 4: Simplify right side
    3,583.98x = 16,876,637.86
  5. Step 5: Solve for x
    x = 16,876,637.86/3,583.98
  6. Step 6: Final answer
    x = 4,708.91

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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.