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Finding the Fourth Proportional to 5,442.06, 8,162.91 and 2,978.04

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Solution

The fourth proportional to 5,442.06, 8,162.91 and 2,978.04 is: 4,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.06 : 8,162.91 = 2,978.04 : x
  2. Step 2: Convert to fraction form
    5,442.06/8,162.91 = 2,978.04/x
  3. Step 3: Cross multiply
    5,442.06x = 8,162.91 × 2,978.04
  4. Step 4: Simplify right side
    5,442.06x = 24,309,472.50
  5. Step 5: Solve for x
    x = 24,309,472.50/5,442.06
  6. Step 6: Final answer
    x = 4,466.96

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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.