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Finding the Fourth Proportional to 4,901.74, 6,764.40 and 2,663.62

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Solution

The fourth proportional to 4,901.74, 6,764.40 and 2,663.62 is: 3,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.74 : 6,764.40 = 2,663.62 : x
  2. Step 2: Convert to fraction form
    4,901.74/6,764.40 = 2,663.62/x
  3. Step 3: Cross multiply
    4,901.74x = 6,764.40 × 2,663.62
  4. Step 4: Simplify right side
    4,901.74x = 18,017,791.13
  5. Step 5: Solve for x
    x = 18,017,791.13/4,901.74
  6. Step 6: Final answer
    x = 3,675.79

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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.