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Finding the Fourth Proportional to 4,965.94, 7,449.72 and 1,502.38

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Solution

The fourth proportional to 4,965.94, 7,449.72 and 1,502.38 is: 2,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.94 : 7,449.72 = 1,502.38 : x
  2. Step 2: Convert to fraction form
    4,965.94/7,449.72 = 1,502.38/x
  3. Step 3: Cross multiply
    4,965.94x = 7,449.72 × 1,502.38
  4. Step 4: Simplify right side
    4,965.94x = 11,192,265.57
  5. Step 5: Solve for x
    x = 11,192,265.57/4,965.94
  6. Step 6: Final answer
    x = 2,253.81

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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.