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Finding the Fourth Proportional to 6,032.84, 8,327.62 and 3,795.64

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Solution

The fourth proportional to 6,032.84, 8,327.62 and 3,795.64 is: 5,239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.84 : 8,327.62 = 3,795.64 : x
  2. Step 2: Convert to fraction form
    6,032.84/8,327.62 = 3,795.64/x
  3. Step 3: Cross multiply
    6,032.84x = 8,327.62 × 3,795.64
  4. Step 4: Simplify right side
    6,032.84x = 31,608,647.58
  5. Step 5: Solve for x
    x = 31,608,647.58/6,032.84
  6. Step 6: Final answer
    x = 5,239.43

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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.