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Finding the Fourth Proportional to 5,840.73, 8,792.82 and 5,238

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Solution

The fourth proportional to 5,840.73, 8,792.82 and 5,238 is: 7,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.73 : 8,792.82 = 5,238 : x
  2. Step 2: Convert to fraction form
    5,840.73/8,792.82 = 5,238/x
  3. Step 3: Cross multiply
    5,840.73x = 8,792.82 × 5,238
  4. Step 4: Simplify right side
    5,840.73x = 46,056,791.16
  5. Step 5: Solve for x
    x = 46,056,791.16/5,840.73
  6. Step 6: Final answer
    x = 7,885.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.