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Finding the Fourth Proportional to 4,901.64, 6,764.27 and 2,663.52

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Solution

The fourth proportional to 4,901.64, 6,764.27 and 2,663.52 is: 3,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.64 : 6,764.27 = 2,663.52 : x
  2. Step 2: Convert to fraction form
    4,901.64/6,764.27 = 2,663.52/x
  3. Step 3: Cross multiply
    4,901.64x = 6,764.27 × 2,663.52
  4. Step 4: Simplify right side
    4,901.64x = 18,016,755.11
  5. Step 5: Solve for x
    x = 18,016,755.11/4,901.64
  6. Step 6: Final answer
    x = 3,675.66

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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.