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Finding the Fourth Proportional to 5,442.67, 8,167.20 and 2,364.67

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Solution

The fourth proportional to 5,442.67, 8,167.20 and 2,364.67 is: 3,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.67 : 8,167.20 = 2,364.67 : x
  2. Step 2: Convert to fraction form
    5,442.67/8,167.20 = 2,364.67/x
  3. Step 3: Cross multiply
    5,442.67x = 8,167.20 × 2,364.67
  4. Step 4: Simplify right side
    5,442.67x = 19,312,732.82
  5. Step 5: Solve for x
    x = 19,312,732.82/5,442.67
  6. Step 6: Final answer
    x = 3,548.39

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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.