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Finding the Fourth Proportional to 4,792.54, 6,611.52 and 3,464.14

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Solution

The fourth proportional to 4,792.54, 6,611.52 and 3,464.14 is: 4,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.54 : 6,611.52 = 3,464.14 : x
  2. Step 2: Convert to fraction form
    4,792.54/6,611.52 = 3,464.14/x
  3. Step 3: Cross multiply
    4,792.54x = 6,611.52 × 3,464.14
  4. Step 4: Simplify right side
    4,792.54x = 22,903,230.89
  5. Step 5: Solve for x
    x = 22,903,230.89/4,792.54
  6. Step 6: Final answer
    x = 4,778.93

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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.