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Finding the Fourth Proportional to 3,966.91, 5,950.43 and 1,502.89

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Solution

The fourth proportional to 3,966.91, 5,950.43 and 1,502.89 is: 2,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.91 : 5,950.43 = 1,502.89 : x
  2. Step 2: Convert to fraction form
    3,966.91/5,950.43 = 1,502.89/x
  3. Step 3: Cross multiply
    3,966.91x = 5,950.43 × 1,502.89
  4. Step 4: Simplify right side
    3,966.91x = 8,942,824.99
  5. Step 5: Solve for x
    x = 8,942,824.99/3,966.91
  6. Step 6: Final answer
    x = 2,254.36

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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.