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Finding the Fourth Proportional to 3,490.41, 4,814.87 and 2,072.71

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Solution

The fourth proportional to 3,490.41, 4,814.87 and 2,072.71 is: 2,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.41 : 4,814.87 = 2,072.71 : x
  2. Step 2: Convert to fraction form
    3,490.41/4,814.87 = 2,072.71/x
  3. Step 3: Cross multiply
    3,490.41x = 4,814.87 × 2,072.71
  4. Step 4: Simplify right side
    3,490.41x = 9,979,829.20
  5. Step 5: Solve for x
    x = 9,979,829.20/3,490.41
  6. Step 6: Final answer
    x = 2,859.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.