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Finding the Fourth Proportional to 3,577.42, 4,937.07 and 2,005.38

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Solution

The fourth proportional to 3,577.42, 4,937.07 and 2,005.38 is: 2,767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.42 : 4,937.07 = 2,005.38 : x
  2. Step 2: Convert to fraction form
    3,577.42/4,937.07 = 2,005.38/x
  3. Step 3: Cross multiply
    3,577.42x = 4,937.07 × 2,005.38
  4. Step 4: Simplify right side
    3,577.42x = 9,900,701.44
  5. Step 5: Solve for x
    x = 9,900,701.44/3,577.42
  6. Step 6: Final answer
    x = 2,767.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.