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Finding the Fourth Proportional to 4,998.52, 7,492.74 and 2,226.64

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Solution

The fourth proportional to 4,998.52, 7,492.74 and 2,226.64 is: 3,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998.52 : 7,492.74 = 2,226.64 : x
  2. Step 2: Convert to fraction form
    4,998.52/7,492.74 = 2,226.64/x
  3. Step 3: Cross multiply
    4,998.52x = 7,492.74 × 2,226.64
  4. Step 4: Simplify right side
    4,998.52x = 16,683,634.59
  5. Step 5: Solve for x
    x = 16,683,634.59/4,998.52
  6. Step 6: Final answer
    x = 3,337.71

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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.