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Finding the Fourth Proportional to 3,966.03, 5,949.18 and 1,502.01

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Solution

The fourth proportional to 3,966.03, 5,949.18 and 1,502.01 is: 2,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.03 : 5,949.18 = 1,502.01 : x
  2. Step 2: Convert to fraction form
    3,966.03/5,949.18 = 1,502.01/x
  3. Step 3: Cross multiply
    3,966.03x = 5,949.18 × 1,502.01
  4. Step 4: Simplify right side
    3,966.03x = 8,935,727.85
  5. Step 5: Solve for x
    x = 8,935,727.85/3,966.03
  6. Step 6: Final answer
    x = 2,253.07

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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.