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Finding the Fourth Proportional to 3,577.62, 4,937.14 and 2,005.82

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Solution

The fourth proportional to 3,577.62, 4,937.14 and 2,005.82 is: 2,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.62 : 4,937.14 = 2,005.82 : x
  2. Step 2: Convert to fraction form
    3,577.62/4,937.14 = 2,005.82/x
  3. Step 3: Cross multiply
    3,577.62x = 4,937.14 × 2,005.82
  4. Step 4: Simplify right side
    3,577.62x = 9,903,014.15
  5. Step 5: Solve for x
    x = 9,903,014.15/3,577.62
  6. Step 6: Final answer
    x = 2,768.05

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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.