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Finding the Fourth Proportional to 3,581.34, 4,942.40 and 2,009.54

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Solution

The fourth proportional to 3,581.34, 4,942.40 and 2,009.54 is: 2,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.34 : 4,942.40 = 2,009.54 : x
  2. Step 2: Convert to fraction form
    3,581.34/4,942.40 = 2,009.54/x
  3. Step 3: Cross multiply
    3,581.34x = 4,942.40 × 2,009.54
  4. Step 4: Simplify right side
    3,581.34x = 9,931,915.74
  5. Step 5: Solve for x
    x = 9,931,915.74/3,581.34
  6. Step 6: Final answer
    x = 2,773.24

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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.