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Finding the Fourth Proportional to 4,638.78, 6,954.51 and 2,297.13

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Solution

The fourth proportional to 4,638.78, 6,954.51 and 2,297.13 is: 3,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.78 : 6,954.51 = 2,297.13 : x
  2. Step 2: Convert to fraction form
    4,638.78/6,954.51 = 2,297.13/x
  3. Step 3: Cross multiply
    4,638.78x = 6,954.51 × 2,297.13
  4. Step 4: Simplify right side
    4,638.78x = 15,975,413.56
  5. Step 5: Solve for x
    x = 15,975,413.56/4,638.78
  6. Step 6: Final answer
    x = 3,443.88

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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.