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Finding the Fourth Proportional to 4,051.42, 6,072.87 and 2,294.22

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Solution

The fourth proportional to 4,051.42, 6,072.87 and 2,294.22 is: 3,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.42 : 6,072.87 = 2,294.22 : x
  2. Step 2: Convert to fraction form
    4,051.42/6,072.87 = 2,294.22/x
  3. Step 3: Cross multiply
    4,051.42x = 6,072.87 × 2,294.22
  4. Step 4: Simplify right side
    4,051.42x = 13,932,531.19
  5. Step 5: Solve for x
    x = 13,932,531.19/4,051.42
  6. Step 6: Final answer
    x = 3,438.93

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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.