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Finding the Fourth Proportional to 4,663.82, 6,436.22 and 2,674.74

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Solution

The fourth proportional to 4,663.82, 6,436.22 and 2,674.74 is: 3,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.82 : 6,436.22 = 2,674.74 : x
  2. Step 2: Convert to fraction form
    4,663.82/6,436.22 = 2,674.74/x
  3. Step 3: Cross multiply
    4,663.82x = 6,436.22 × 2,674.74
  4. Step 4: Simplify right side
    4,663.82x = 17,215,215.08
  5. Step 5: Solve for x
    x = 17,215,215.08/4,663.82
  6. Step 6: Final answer
    x = 3,691.23

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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.