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Finding the Fourth Proportional to 5,563.62, 7,673.94 and 3,792.24

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Solution

The fourth proportional to 5,563.62, 7,673.94 and 3,792.24 is: 5,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.62 : 7,673.94 = 3,792.24 : x
  2. Step 2: Convert to fraction form
    5,563.62/7,673.94 = 3,792.24/x
  3. Step 3: Cross multiply
    5,563.62x = 7,673.94 × 3,792.24
  4. Step 4: Simplify right side
    5,563.62x = 29,101,422.23
  5. Step 5: Solve for x
    x = 29,101,422.23/5,563.62
  6. Step 6: Final answer
    x = 5,230.66

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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.