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Finding the Fourth Proportional to 6,199.53, 8,555.27 and 3,842.25

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Solution

The fourth proportional to 6,199.53, 8,555.27 and 3,842.25 is: 5,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.53 : 8,555.27 = 3,842.25 : x
  2. Step 2: Convert to fraction form
    6,199.53/8,555.27 = 3,842.25/x
  3. Step 3: Cross multiply
    6,199.53x = 8,555.27 × 3,842.25
  4. Step 4: Simplify right side
    6,199.53x = 32,871,466.95
  5. Step 5: Solve for x
    x = 32,871,466.95/6,199.53
  6. Step 6: Final answer
    x = 5,302.25

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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.