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Finding the Fourth Proportional to 3,866.72, 5,800.06 and 945.04

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Solution

The fourth proportional to 3,866.72, 5,800.06 and 945.04 is: 1,417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.72 : 5,800.06 = 945.04 : x
  2. Step 2: Convert to fraction form
    3,866.72/5,800.06 = 945.04/x
  3. Step 3: Cross multiply
    3,866.72x = 5,800.06 × 945.04
  4. Step 4: Simplify right side
    3,866.72x = 5,481,288.70
  5. Step 5: Solve for x
    x = 5,481,288.70/3,866.72
  6. Step 6: Final answer
    x = 1,417.56

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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.