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Finding the Fourth Proportional to 3,577.96, 4,937.72 and 2,006

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Solution

The fourth proportional to 3,577.96, 4,937.72 and 2,006 is: 2,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.96 : 4,937.72 = 2,006 : x
  2. Step 2: Convert to fraction form
    3,577.96/4,937.72 = 2,006/x
  3. Step 3: Cross multiply
    3,577.96x = 4,937.72 × 2,006
  4. Step 4: Simplify right side
    3,577.96x = 9,905,066.32
  5. Step 5: Solve for x
    x = 9,905,066.32/3,577.96
  6. Step 6: Final answer
    x = 2,768.36

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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.