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Finding the Fourth Proportional to 6,579.68, 9,874.76 and 2,884.50

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Solution

The fourth proportional to 6,579.68, 9,874.76 and 2,884.50 is: 4,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.68 : 9,874.76 = 2,884.50 : x
  2. Step 2: Convert to fraction form
    6,579.68/9,874.76 = 2,884.50/x
  3. Step 3: Cross multiply
    6,579.68x = 9,874.76 × 2,884.50
  4. Step 4: Simplify right side
    6,579.68x = 28,483,730.80
  5. Step 5: Solve for x
    x = 28,483,730.80/6,579.68
  6. Step 6: Final answer
    x = 4,329.05

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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.