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Finding the Fourth Proportional to 6,442.26, 8,890.50 and 3,647.76

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Solution

The fourth proportional to 6,442.26, 8,890.50 and 3,647.76 is: 5,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.26 : 8,890.50 = 3,647.76 : x
  2. Step 2: Convert to fraction form
    6,442.26/8,890.50 = 3,647.76/x
  3. Step 3: Cross multiply
    6,442.26x = 8,890.50 × 3,647.76
  4. Step 4: Simplify right side
    6,442.26x = 32,430,410.28
  5. Step 5: Solve for x
    x = 32,430,410.28/6,442.26
  6. Step 6: Final answer
    x = 5,034.01

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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.