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Finding the Fourth Proportional to 4,972.68, 7,453.01 and 2,196.20

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Solution

The fourth proportional to 4,972.68, 7,453.01 and 2,196.20 is: 3,291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.68 : 7,453.01 = 2,196.20 : x
  2. Step 2: Convert to fraction form
    4,972.68/7,453.01 = 2,196.20/x
  3. Step 3: Cross multiply
    4,972.68x = 7,453.01 × 2,196.20
  4. Step 4: Simplify right side
    4,972.68x = 16,368,252.32
  5. Step 5: Solve for x
    x = 16,368,252.32/4,972.68
  6. Step 6: Final answer
    x = 3,291.64

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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.