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Finding the Fourth Proportional to 3,759.93, 5,640.50 and 1,294.14

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Solution

The fourth proportional to 3,759.93, 5,640.50 and 1,294.14 is: 1,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.93 : 5,640.50 = 1,294.14 : x
  2. Step 2: Convert to fraction form
    3,759.93/5,640.50 = 1,294.14/x
  3. Step 3: Cross multiply
    3,759.93x = 5,640.50 × 1,294.14
  4. Step 4: Simplify right side
    3,759.93x = 7,299,590.20
  5. Step 5: Solve for x
    x = 7,299,590.20/3,759.93
  6. Step 6: Final answer
    x = 1,941.42

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1.5x scale

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.