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Finding the Fourth Proportional to 4,792.24, 6,611.74 and 3,115

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Solution

The fourth proportional to 4,792.24, 6,611.74 and 3,115 is: 4,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.24 : 6,611.74 = 3,115 : x
  2. Step 2: Convert to fraction form
    4,792.24/6,611.74 = 3,115/x
  3. Step 3: Cross multiply
    4,792.24x = 6,611.74 × 3,115
  4. Step 4: Simplify right side
    4,792.24x = 20,595,570.10
  5. Step 5: Solve for x
    x = 20,595,570.10/4,792.24
  6. Step 6: Final answer
    x = 4,297.69

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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.