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Finding the Fourth Proportional to 4,972.05, 7,460.69 and 2,200.64

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Solution

The fourth proportional to 4,972.05, 7,460.69 and 2,200.64 is: 3,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.05 : 7,460.69 = 2,200.64 : x
  2. Step 2: Convert to fraction form
    4,972.05/7,460.69 = 2,200.64/x
  3. Step 3: Cross multiply
    4,972.05x = 7,460.69 × 2,200.64
  4. Step 4: Simplify right side
    4,972.05x = 16,418,244.53
  5. Step 5: Solve for x
    x = 16,418,244.53/4,972.05
  6. Step 6: Final answer
    x = 3,302.11

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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.