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Finding the Fourth Proportional to 3,584.68, 4,946.73 and 2,466.88

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Solution

The fourth proportional to 3,584.68, 4,946.73 and 2,466.88 is: 3,404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.68 : 4,946.73 = 2,466.88 : x
  2. Step 2: Convert to fraction form
    3,584.68/4,946.73 = 2,466.88/x
  3. Step 3: Cross multiply
    3,584.68x = 4,946.73 × 2,466.88
  4. Step 4: Simplify right side
    3,584.68x = 12,202,989.30
  5. Step 5: Solve for x
    x = 12,202,989.30/3,584.68
  6. Step 6: Final answer
    x = 3,404.21

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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.