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Finding the Fourth Proportional to 5,913.92, 8,874.32 and 3,283.62

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Solution

The fourth proportional to 5,913.92, 8,874.32 and 3,283.62 is: 4,927.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.92 : 8,874.32 = 3,283.62 : x
  2. Step 2: Convert to fraction form
    5,913.92/8,874.32 = 3,283.62/x
  3. Step 3: Cross multiply
    5,913.92x = 8,874.32 × 3,283.62
  4. Step 4: Simplify right side
    5,913.92x = 29,139,878.22
  5. Step 5: Solve for x
    x = 29,139,878.22/5,913.92
  6. Step 6: Final answer
    x = 4,927.34

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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.