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Finding the Fourth Proportional to 3,577.64, 4,937.34 and 2,005.88

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Solution

The fourth proportional to 3,577.64, 4,937.34 and 2,005.88 is: 2,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.64 : 4,937.34 = 2,005.88 : x
  2. Step 2: Convert to fraction form
    3,577.64/4,937.34 = 2,005.88/x
  3. Step 3: Cross multiply
    3,577.64x = 4,937.34 × 2,005.88
  4. Step 4: Simplify right side
    3,577.64x = 9,903,711.56
  5. Step 5: Solve for x
    x = 9,903,711.56/3,577.64
  6. Step 6: Final answer
    x = 2,768.22

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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.