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Finding the Fourth Proportional to 5,662.92, 8,492.22 and 2,199.72

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Solution

The fourth proportional to 5,662.92, 8,492.22 and 2,199.72 is: 3,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.92 : 8,492.22 = 2,199.72 : x
  2. Step 2: Convert to fraction form
    5,662.92/8,492.22 = 2,199.72/x
  3. Step 3: Cross multiply
    5,662.92x = 8,492.22 × 2,199.72
  4. Step 4: Simplify right side
    5,662.92x = 18,680,506.18
  5. Step 5: Solve for x
    x = 18,680,506.18/5,662.92
  6. Step 6: Final answer
    x = 3,298.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.