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Finding the Fourth Proportional to 5,699.60, 7,863.07 and 3,786.32

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Solution

The fourth proportional to 5,699.60, 7,863.07 and 3,786.32 is: 5,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.60 : 7,863.07 = 3,786.32 : x
  2. Step 2: Convert to fraction form
    5,699.60/7,863.07 = 3,786.32/x
  3. Step 3: Cross multiply
    5,699.60x = 7,863.07 × 3,786.32
  4. Step 4: Simplify right side
    5,699.60x = 29,772,099.20
  5. Step 5: Solve for x
    x = 29,772,099.20/5,699.60
  6. Step 6: Final answer
    x = 5,223.54

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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.