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Finding the Fourth Proportional to 3,966.81, 5,945.61 and 1,500.06

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Solution

The fourth proportional to 3,966.81, 5,945.61 and 1,500.06 is: 2,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.81 : 5,945.61 = 1,500.06 : x
  2. Step 2: Convert to fraction form
    3,966.81/5,945.61 = 1,500.06/x
  3. Step 3: Cross multiply
    3,966.81x = 5,945.61 × 1,500.06
  4. Step 4: Simplify right side
    3,966.81x = 8,918,771.74
  5. Step 5: Solve for x
    x = 8,918,771.74/3,966.81
  6. Step 6: Final answer
    x = 2,248.35

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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.