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Finding the Fourth Proportional to 4,902.72, 6,764.68 and 3,577.15

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Solution

The fourth proportional to 4,902.72, 6,764.68 and 3,577.15 is: 4,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.72 : 6,764.68 = 3,577.15 : x
  2. Step 2: Convert to fraction form
    4,902.72/6,764.68 = 3,577.15/x
  3. Step 3: Cross multiply
    4,902.72x = 6,764.68 × 3,577.15
  4. Step 4: Simplify right side
    4,902.72x = 24,198,275.06
  5. Step 5: Solve for x
    x = 24,198,275.06/4,902.72
  6. Step 6: Final answer
    x = 4,935.68

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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.