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Finding the Fourth Proportional to 3,663.24, 5,493.24 and 1,716

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Solution

The fourth proportional to 3,663.24, 5,493.24 and 1,716 is: 2,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.24 : 5,493.24 = 1,716 : x
  2. Step 2: Convert to fraction form
    3,663.24/5,493.24 = 1,716/x
  3. Step 3: Cross multiply
    3,663.24x = 5,493.24 × 1,716
  4. Step 4: Simplify right side
    3,663.24x = 9,426,399.84
  5. Step 5: Solve for x
    x = 9,426,399.84/3,663.24
  6. Step 6: Final answer
    x = 2,573.24

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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.