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Finding the Fourth Proportional to 5,910.83, 8,840.10 and 5,257.29

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Solution

The fourth proportional to 5,910.83, 8,840.10 and 5,257.29 is: 7,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910.83 : 8,840.10 = 5,257.29 : x
  2. Step 2: Convert to fraction form
    5,910.83/8,840.10 = 5,257.29/x
  3. Step 3: Cross multiply
    5,910.83x = 8,840.10 × 5,257.29
  4. Step 4: Simplify right side
    5,910.83x = 46,474,969.33
  5. Step 5: Solve for x
    x = 46,474,969.33/5,910.83
  6. Step 6: Final answer
    x = 7,862.68

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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.