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Finding the Fourth Proportional to 6,442.56, 8,889.42 and 3,647.52

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Solution

The fourth proportional to 6,442.56, 8,889.42 and 3,647.52 is: 5,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.56 : 8,889.42 = 3,647.52 : x
  2. Step 2: Convert to fraction form
    6,442.56/8,889.42 = 3,647.52/x
  3. Step 3: Cross multiply
    6,442.56x = 8,889.42 × 3,647.52
  4. Step 4: Simplify right side
    6,442.56x = 32,424,337.24
  5. Step 5: Solve for x
    x = 32,424,337.24/6,442.56
  6. Step 6: Final answer
    x = 5,032.83

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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.