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Finding the Fourth Proportional to 4,472.88, 6,716.64 and 3,748.08

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Solution

The fourth proportional to 4,472.88, 6,716.64 and 3,748.08 is: 5,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.88 : 6,716.64 = 3,748.08 : x
  2. Step 2: Convert to fraction form
    4,472.88/6,716.64 = 3,748.08/x
  3. Step 3: Cross multiply
    4,472.88x = 6,716.64 × 3,748.08
  4. Step 4: Simplify right side
    4,472.88x = 25,174,504.05
  5. Step 5: Solve for x
    x = 25,174,504.05/4,472.88
  6. Step 6: Final answer
    x = 5,628.25

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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.