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Finding the Fourth Proportional to 3,580.96, 4,941.87 and 2,009.05

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Solution

The fourth proportional to 3,580.96, 4,941.87 and 2,009.05 is: 2,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.96 : 4,941.87 = 2,009.05 : x
  2. Step 2: Convert to fraction form
    3,580.96/4,941.87 = 2,009.05/x
  3. Step 3: Cross multiply
    3,580.96x = 4,941.87 × 2,009.05
  4. Step 4: Simplify right side
    3,580.96x = 9,928,429.17
  5. Step 5: Solve for x
    x = 9,928,429.17/3,580.96
  6. Step 6: Final answer
    x = 2,772.56

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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.