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Finding the Fourth Proportional to 4,019.74, 6,029.13 and 1,711.90

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Solution

The fourth proportional to 4,019.74, 6,029.13 and 1,711.90 is: 2,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.74 : 6,029.13 = 1,711.90 : x
  2. Step 2: Convert to fraction form
    4,019.74/6,029.13 = 1,711.90/x
  3. Step 3: Cross multiply
    4,019.74x = 6,029.13 × 1,711.90
  4. Step 4: Simplify right side
    4,019.74x = 10,321,267.65
  5. Step 5: Solve for x
    x = 10,321,267.65/4,019.74
  6. Step 6: Final answer
    x = 2,567.65

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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.