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Finding the Fourth Proportional to 5,906.21, 8,142.98 and 4,840.04

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Solution

The fourth proportional to 5,906.21, 8,142.98 and 4,840.04 is: 6,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.21 : 8,142.98 = 4,840.04 : x
  2. Step 2: Convert to fraction form
    5,906.21/8,142.98 = 4,840.04/x
  3. Step 3: Cross multiply
    5,906.21x = 8,142.98 × 4,840.04
  4. Step 4: Simplify right side
    5,906.21x = 39,412,284.00
  5. Step 5: Solve for x
    x = 39,412,284.00/5,906.21
  6. Step 6: Final answer
    x = 6,673.03

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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.