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Finding the Fourth Proportional to 4,663.50, 6,435.99 and 2,674.86

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Solution

The fourth proportional to 4,663.50, 6,435.99 and 2,674.86 is: 3,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.50 : 6,435.99 = 2,674.86 : x
  2. Step 2: Convert to fraction form
    4,663.50/6,435.99 = 2,674.86/x
  3. Step 3: Cross multiply
    4,663.50x = 6,435.99 × 2,674.86
  4. Step 4: Simplify right side
    4,663.50x = 17,215,372.21
  5. Step 5: Solve for x
    x = 17,215,372.21/4,663.50
  6. Step 6: Final answer
    x = 3,691.51

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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.