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Finding the Fourth Proportional to 4,010.69, 6,014.49 and 1,377.70

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Solution

The fourth proportional to 4,010.69, 6,014.49 and 1,377.70 is: 2,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010.69 : 6,014.49 = 1,377.70 : x
  2. Step 2: Convert to fraction form
    4,010.69/6,014.49 = 1,377.70/x
  3. Step 3: Cross multiply
    4,010.69x = 6,014.49 × 1,377.70
  4. Step 4: Simplify right side
    4,010.69x = 8,286,162.87
  5. Step 5: Solve for x
    x = 8,286,162.87/4,010.69
  6. Step 6: Final answer
    x = 2,066.02

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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.