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Finding the Fourth Proportional to 6,442.81, 8,890.77 and 3,609.84

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Solution

The fourth proportional to 6,442.81, 8,890.77 and 3,609.84 is: 4,981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.81 : 8,890.77 = 3,609.84 : x
  2. Step 2: Convert to fraction form
    6,442.81/8,890.77 = 3,609.84/x
  3. Step 3: Cross multiply
    6,442.81x = 8,890.77 × 3,609.84
  4. Step 4: Simplify right side
    6,442.81x = 32,094,257.18
  5. Step 5: Solve for x
    x = 32,094,257.18/6,442.81
  6. Step 6: Final answer
    x = 4,981.41

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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.