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Finding the Fourth Proportional to 3,584.95, 4,946.96 and 2,013.28

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Solution

The fourth proportional to 3,584.95, 4,946.96 and 2,013.28 is: 2,778.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.95 : 4,946.96 = 2,013.28 : x
  2. Step 2: Convert to fraction form
    3,584.95/4,946.96 = 2,013.28/x
  3. Step 3: Cross multiply
    3,584.95x = 4,946.96 × 2,013.28
  4. Step 4: Simplify right side
    3,584.95x = 9,959,608.29
  5. Step 5: Solve for x
    x = 9,959,608.29/3,584.95
  6. Step 6: Final answer
    x = 2,778.17

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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.