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Finding the Fourth Proportional to 3,581.86, 4,943.01 and 2,009.98

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Solution

The fourth proportional to 3,581.86, 4,943.01 and 2,009.98 is: 2,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.86 : 4,943.01 = 2,009.98 : x
  2. Step 2: Convert to fraction form
    3,581.86/4,943.01 = 2,009.98/x
  3. Step 3: Cross multiply
    3,581.86x = 4,943.01 × 2,009.98
  4. Step 4: Simplify right side
    3,581.86x = 9,935,351.24
  5. Step 5: Solve for x
    x = 9,935,351.24/3,581.86
  6. Step 6: Final answer
    x = 2,773.80

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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.