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Finding the Fourth Proportional to 5,442.86, 7,511.05 and 3,052.84

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Solution

The fourth proportional to 5,442.86, 7,511.05 and 3,052.84 is: 4,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.86 : 7,511.05 = 3,052.84 : x
  2. Step 2: Convert to fraction form
    5,442.86/7,511.05 = 3,052.84/x
  3. Step 3: Cross multiply
    5,442.86x = 7,511.05 × 3,052.84
  4. Step 4: Simplify right side
    5,442.86x = 22,930,033.88
  5. Step 5: Solve for x
    x = 22,930,033.88/5,442.86
  6. Step 6: Final answer
    x = 4,212.86

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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.