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Finding the Fourth Proportional to 3,792.44, 5,688.97 and 1,019.21

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Solution

The fourth proportional to 3,792.44, 5,688.97 and 1,019.21 is: 1,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.44 : 5,688.97 = 1,019.21 : x
  2. Step 2: Convert to fraction form
    3,792.44/5,688.97 = 1,019.21/x
  3. Step 3: Cross multiply
    3,792.44x = 5,688.97 × 1,019.21
  4. Step 4: Simplify right side
    3,792.44x = 5,798,224.12
  5. Step 5: Solve for x
    x = 5,798,224.12/3,792.44
  6. Step 6: Final answer
    x = 1,528.89

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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.