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Finding the Fourth Proportional to 3,512.76, 4,843.00 and 2,706.13

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Solution

The fourth proportional to 3,512.76, 4,843.00 and 2,706.13 is: 3,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.76 : 4,843.00 = 2,706.13 : x
  2. Step 2: Convert to fraction form
    3,512.76/4,843.00 = 2,706.13/x
  3. Step 3: Cross multiply
    3,512.76x = 4,843.00 × 2,706.13
  4. Step 4: Simplify right side
    3,512.76x = 13,105,749.84
  5. Step 5: Solve for x
    x = 13,105,749.84/3,512.76
  6. Step 6: Final answer
    x = 3,730.90

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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.