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Finding the Fourth Proportional to 3,584.48, 4,946.30 and 2,167.88

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Solution

The fourth proportional to 3,584.48, 4,946.30 and 2,167.88 is: 2,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.48 : 4,946.30 = 2,167.88 : x
  2. Step 2: Convert to fraction form
    3,584.48/4,946.30 = 2,167.88/x
  3. Step 3: Cross multiply
    3,584.48x = 4,946.30 × 2,167.88
  4. Step 4: Simplify right side
    3,584.48x = 10,722,984.84
  5. Step 5: Solve for x
    x = 10,722,984.84/3,584.48
  6. Step 6: Final answer
    x = 2,991.50

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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.