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Finding the Fourth Proportional to 4,019.20, 6,029.10 and 1,421.80

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Solution

The fourth proportional to 4,019.20, 6,029.10 and 1,421.80 is: 2,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.20 : 6,029.10 = 1,421.80 : x
  2. Step 2: Convert to fraction form
    4,019.20/6,029.10 = 1,421.80/x
  3. Step 3: Cross multiply
    4,019.20x = 6,029.10 × 1,421.80
  4. Step 4: Simplify right side
    4,019.20x = 8,572,174.38
  5. Step 5: Solve for x
    x = 8,572,174.38/4,019.20
  6. Step 6: Final answer
    x = 2,132.81

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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.