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Finding the Fourth Proportional to 3,965.93, 5,948.27 and 1,774.27

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Solution

The fourth proportional to 3,965.93, 5,948.27 and 1,774.27 is: 2,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.93 : 5,948.27 = 1,774.27 : x
  2. Step 2: Convert to fraction form
    3,965.93/5,948.27 = 1,774.27/x
  3. Step 3: Cross multiply
    3,965.93x = 5,948.27 × 1,774.27
  4. Step 4: Simplify right side
    3,965.93x = 10,553,798.40
  5. Step 5: Solve for x
    x = 10,553,798.40/3,965.93
  6. Step 6: Final answer
    x = 2,661.12

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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.