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Finding the Fourth Proportional to 5,905.96, 8,149.90 and 3,252.86

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Solution

The fourth proportional to 5,905.96, 8,149.90 and 3,252.86 is: 4,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.96 : 8,149.90 = 3,252.86 : x
  2. Step 2: Convert to fraction form
    5,905.96/8,149.90 = 3,252.86/x
  3. Step 3: Cross multiply
    5,905.96x = 8,149.90 × 3,252.86
  4. Step 4: Simplify right side
    5,905.96x = 26,510,483.71
  5. Step 5: Solve for x
    x = 26,510,483.71/5,905.96
  6. Step 6: Final answer
    x = 4,488.77

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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.