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Finding the Fourth Proportional to 4,047.36, 6,072.96 and 2,407.14

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Solution

The fourth proportional to 4,047.36, 6,072.96 and 2,407.14 is: 3,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.36 : 6,072.96 = 2,407.14 : x
  2. Step 2: Convert to fraction form
    4,047.36/6,072.96 = 2,407.14/x
  3. Step 3: Cross multiply
    4,047.36x = 6,072.96 × 2,407.14
  4. Step 4: Simplify right side
    4,047.36x = 14,618,464.93
  5. Step 5: Solve for x
    x = 14,618,464.93/4,047.36
  6. Step 6: Final answer
    x = 3,611.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.