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Finding the Fourth Proportional to 3,704.47, 5,110.70 and 2,211.84

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Solution

The fourth proportional to 3,704.47, 5,110.70 and 2,211.84 is: 3,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.47 : 5,110.70 = 2,211.84 : x
  2. Step 2: Convert to fraction form
    3,704.47/5,110.70 = 2,211.84/x
  3. Step 3: Cross multiply
    3,704.47x = 5,110.70 × 2,211.84
  4. Step 4: Simplify right side
    3,704.47x = 11,304,039.63
  5. Step 5: Solve for x
    x = 11,304,039.63/3,704.47
  6. Step 6: Final answer
    x = 3,051.46

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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.