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Finding the Fourth Proportional to 3,577.52, 4,937.22 and 2,005.71

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Solution

The fourth proportional to 3,577.52, 4,937.22 and 2,005.71 is: 2,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.52 : 4,937.22 = 2,005.71 : x
  2. Step 2: Convert to fraction form
    3,577.52/4,937.22 = 2,005.71/x
  3. Step 3: Cross multiply
    3,577.52x = 4,937.22 × 2,005.71
  4. Step 4: Simplify right side
    3,577.52x = 9,902,631.53
  5. Step 5: Solve for x
    x = 9,902,631.53/3,577.52
  6. Step 6: Final answer
    x = 2,768.02

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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.