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Finding the Fourth Proportional to 4,019.54, 6,029.26 and 1,421.87

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Solution

The fourth proportional to 4,019.54, 6,029.26 and 1,421.87 is: 2,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.54 : 6,029.26 = 1,421.87 : x
  2. Step 2: Convert to fraction form
    4,019.54/6,029.26 = 1,421.87/x
  3. Step 3: Cross multiply
    4,019.54x = 6,029.26 × 1,421.87
  4. Step 4: Simplify right side
    4,019.54x = 8,572,790.22
  5. Step 5: Solve for x
    x = 8,572,790.22/4,019.54
  6. Step 6: Final answer
    x = 2,132.78

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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.