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Finding the Fourth Proportional to 4,663.68, 6,436.01 and 2,674.62

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Solution

The fourth proportional to 4,663.68, 6,436.01 and 2,674.62 is: 3,691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.68 : 6,436.01 = 2,674.62 : x
  2. Step 2: Convert to fraction form
    4,663.68/6,436.01 = 2,674.62/x
  3. Step 3: Cross multiply
    4,663.68x = 6,436.01 × 2,674.62
  4. Step 4: Simplify right side
    4,663.68x = 17,213,872.71
  5. Step 5: Solve for x
    x = 17,213,872.71/4,663.68
  6. Step 6: Final answer
    x = 3,691.05

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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.