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Finding the Fourth Proportional to 3,577.50, 4,937.02 and 2,005.46

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Solution

The fourth proportional to 3,577.50, 4,937.02 and 2,005.46 is: 2,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.50 : 4,937.02 = 2,005.46 : x
  2. Step 2: Convert to fraction form
    3,577.50/4,937.02 = 2,005.46/x
  3. Step 3: Cross multiply
    3,577.50x = 4,937.02 × 2,005.46
  4. Step 4: Simplify right side
    3,577.50x = 9,900,996.13
  5. Step 5: Solve for x
    x = 9,900,996.13/3,577.50
  6. Step 6: Final answer
    x = 2,767.57

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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.