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Finding the Fourth Proportional to 3,933.37, 5,416.86 and 3,582.91

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Solution

The fourth proportional to 3,933.37, 5,416.86 and 3,582.91 is: 4,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.37 : 5,416.86 = 3,582.91 : x
  2. Step 2: Convert to fraction form
    3,933.37/5,416.86 = 3,582.91/x
  3. Step 3: Cross multiply
    3,933.37x = 5,416.86 × 3,582.91
  4. Step 4: Simplify right side
    3,933.37x = 19,408,121.86
  5. Step 5: Solve for x
    x = 19,408,121.86/3,933.37
  6. Step 6: Final answer
    x = 4,934.22

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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.