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Finding the Fourth Proportional to 4,294.67, 5,922.05 and 2,698.16

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Solution

The fourth proportional to 4,294.67, 5,922.05 and 2,698.16 is: 3,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.67 : 5,922.05 = 2,698.16 : x
  2. Step 2: Convert to fraction form
    4,294.67/5,922.05 = 2,698.16/x
  3. Step 3: Cross multiply
    4,294.67x = 5,922.05 × 2,698.16
  4. Step 4: Simplify right side
    4,294.67x = 15,978,595.33
  5. Step 5: Solve for x
    x = 15,978,595.33/4,294.67
  6. Step 6: Final answer
    x = 3,720.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.