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Finding the Fourth Proportional to 5,639.76, 8,446.68 and 3,903.12

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Solution

The fourth proportional to 5,639.76, 8,446.68 and 3,903.12 is: 5,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.76 : 8,446.68 = 3,903.12 : x
  2. Step 2: Convert to fraction form
    5,639.76/8,446.68 = 3,903.12/x
  3. Step 3: Cross multiply
    5,639.76x = 8,446.68 × 3,903.12
  4. Step 4: Simplify right side
    5,639.76x = 32,968,405.64
  5. Step 5: Solve for x
    x = 32,968,405.64/5,639.76
  6. Step 6: Final answer
    x = 5,845.71

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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.