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Finding the Fourth Proportional to 6,442.21, 8,889.60 and 3,609.42

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Solution

The fourth proportional to 6,442.21, 8,889.60 and 3,609.42 is: 4,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.21 : 8,889.60 = 3,609.42 : x
  2. Step 2: Convert to fraction form
    6,442.21/8,889.60 = 3,609.42/x
  3. Step 3: Cross multiply
    6,442.21x = 8,889.60 × 3,609.42
  4. Step 4: Simplify right side
    6,442.21x = 32,086,300.03
  5. Step 5: Solve for x
    x = 32,086,300.03/6,442.21
  6. Step 6: Final answer
    x = 4,980.64

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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.