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Finding the Fourth Proportional to 3,706.07, 5,113.65 and 2,213.44

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Solution

The fourth proportional to 3,706.07, 5,113.65 and 2,213.44 is: 3,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.07 : 5,113.65 = 2,213.44 : x
  2. Step 2: Convert to fraction form
    3,706.07/5,113.65 = 2,213.44/x
  3. Step 3: Cross multiply
    3,706.07x = 5,113.65 × 2,213.44
  4. Step 4: Simplify right side
    3,706.07x = 11,318,744.67
  5. Step 5: Solve for x
    x = 11,318,744.67/3,706.07
  6. Step 6: Final answer
    x = 3,054.11

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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.