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Finding the Fourth Proportional to 3,638.34, 5,459.78 and 1,663.65

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Solution

The fourth proportional to 3,638.34, 5,459.78 and 1,663.65 is: 2,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.34 : 5,459.78 = 1,663.65 : x
  2. Step 2: Convert to fraction form
    3,638.34/5,459.78 = 1,663.65/x
  3. Step 3: Cross multiply
    3,638.34x = 5,459.78 × 1,663.65
  4. Step 4: Simplify right side
    3,638.34x = 9,083,154.68
  5. Step 5: Solve for x
    x = 9,083,154.68/3,638.34
  6. Step 6: Final answer
    x = 2,496.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.