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Finding the Fourth Proportional to 6,185.28, 8,537.28 and 4,199.16

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Solution

The fourth proportional to 6,185.28, 8,537.28 and 4,199.16 is: 5,795.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.28 : 8,537.28 = 4,199.16 : x
  2. Step 2: Convert to fraction form
    6,185.28/8,537.28 = 4,199.16/x
  3. Step 3: Cross multiply
    6,185.28x = 8,537.28 × 4,199.16
  4. Step 4: Simplify right side
    6,185.28x = 35,849,404.68
  5. Step 5: Solve for x
    x = 35,849,404.68/6,185.28
  6. Step 6: Final answer
    x = 5,795.92

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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.