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Finding the Fourth Proportional to 4,965.96, 7,449.30 and 3,651.24

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Solution

The fourth proportional to 4,965.96, 7,449.30 and 3,651.24 is: 5,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.96 : 7,449.30 = 3,651.24 : x
  2. Step 2: Convert to fraction form
    4,965.96/7,449.30 = 3,651.24/x
  3. Step 3: Cross multiply
    4,965.96x = 7,449.30 × 3,651.24
  4. Step 4: Simplify right side
    4,965.96x = 27,199,182.13
  5. Step 5: Solve for x
    x = 27,199,182.13/4,965.96
  6. Step 6: Final answer
    x = 5,477.12

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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.