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Finding the Fourth Proportional to 4,270.42, 6,410.17 and 3,779.94

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Solution

The fourth proportional to 4,270.42, 6,410.17 and 3,779.94 is: 5,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.42 : 6,410.17 = 3,779.94 : x
  2. Step 2: Convert to fraction form
    4,270.42/6,410.17 = 3,779.94/x
  3. Step 3: Cross multiply
    4,270.42x = 6,410.17 × 3,779.94
  4. Step 4: Simplify right side
    4,270.42x = 24,230,086.75
  5. Step 5: Solve for x
    x = 24,230,086.75/4,270.42
  6. Step 6: Final answer
    x = 5,673.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.