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Finding the Fourth Proportional to 4,017.96, 6,027.84 and 1,421.10

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Solution

The fourth proportional to 4,017.96, 6,027.84 and 1,421.10 is: 2,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.96 : 6,027.84 = 1,421.10 : x
  2. Step 2: Convert to fraction form
    4,017.96/6,027.84 = 1,421.10/x
  3. Step 3: Cross multiply
    4,017.96x = 6,027.84 × 1,421.10
  4. Step 4: Simplify right side
    4,017.96x = 8,566,163.42
  5. Step 5: Solve for x
    x = 8,566,163.42/4,017.96
  6. Step 6: Final answer
    x = 2,131.97

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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.