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Finding the Fourth Proportional to 3,490.74, 5,237.82 and 1,641.78

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Solution

The fourth proportional to 3,490.74, 5,237.82 and 1,641.78 is: 2,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.74 : 5,237.82 = 1,641.78 : x
  2. Step 2: Convert to fraction form
    3,490.74/5,237.82 = 1,641.78/x
  3. Step 3: Cross multiply
    3,490.74x = 5,237.82 × 1,641.78
  4. Step 4: Simplify right side
    3,490.74x = 8,599,348.12
  5. Step 5: Solve for x
    x = 8,599,348.12/3,490.74
  6. Step 6: Final answer
    x = 2,463.47

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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.