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Finding the Fourth Proportional to 3,577.70, 4,937.22 and 2,005.83

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Solution

The fourth proportional to 3,577.70, 4,937.22 and 2,005.83 is: 2,768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.70 : 4,937.22 = 2,005.83 : x
  2. Step 2: Convert to fraction form
    3,577.70/4,937.22 = 2,005.83/x
  3. Step 3: Cross multiply
    3,577.70x = 4,937.22 × 2,005.83
  4. Step 4: Simplify right side
    3,577.70x = 9,903,223.99
  5. Step 5: Solve for x
    x = 9,903,223.99/3,577.70
  6. Step 6: Final answer
    x = 2,768.04

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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.