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Finding the Fourth Proportional to 3,580.85, 4,941.74 and 2,009.05

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Solution

The fourth proportional to 3,580.85, 4,941.74 and 2,009.05 is: 2,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.85 : 4,941.74 = 2,009.05 : x
  2. Step 2: Convert to fraction form
    3,580.85/4,941.74 = 2,009.05/x
  3. Step 3: Cross multiply
    3,580.85x = 4,941.74 × 2,009.05
  4. Step 4: Simplify right side
    3,580.85x = 9,928,202.75
  5. Step 5: Solve for x
    x = 9,928,202.75/3,580.85
  6. Step 6: Final answer
    x = 2,772.58

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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.