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Finding the Fourth Proportional to 5,937.21, 8,193.96 and 3,419.42

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Solution

The fourth proportional to 5,937.21, 8,193.96 and 3,419.42 is: 4,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.21 : 8,193.96 = 3,419.42 : x
  2. Step 2: Convert to fraction form
    5,937.21/8,193.96 = 3,419.42/x
  3. Step 3: Cross multiply
    5,937.21x = 8,193.96 × 3,419.42
  4. Step 4: Simplify right side
    5,937.21x = 28,018,590.70
  5. Step 5: Solve for x
    x = 28,018,590.70/5,937.21
  6. Step 6: Final answer
    x = 4,719.15

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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.