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Finding the Fourth Proportional to 3,705.50, 5,113.56 and 2,026.91

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Solution

The fourth proportional to 3,705.50, 5,113.56 and 2,026.91 is: 2,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.50 : 5,113.56 = 2,026.91 : x
  2. Step 2: Convert to fraction form
    3,705.50/5,113.56 = 2,026.91/x
  3. Step 3: Cross multiply
    3,705.50x = 5,113.56 × 2,026.91
  4. Step 4: Simplify right side
    3,705.50x = 10,364,725.90
  5. Step 5: Solve for x
    x = 10,364,725.90/3,705.50
  6. Step 6: Final answer
    x = 2,797.12

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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.