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Finding the Fourth Proportional to 5,738.16, 7,918.92 and 4,494

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Solution

The fourth proportional to 5,738.16, 7,918.92 and 4,494 is: 6,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.16 : 7,918.92 = 4,494 : x
  2. Step 2: Convert to fraction form
    5,738.16/7,918.92 = 4,494/x
  3. Step 3: Cross multiply
    5,738.16x = 7,918.92 × 4,494
  4. Step 4: Simplify right side
    5,738.16x = 35,587,626.48
  5. Step 5: Solve for x
    x = 35,587,626.48/5,738.16
  6. Step 6: Final answer
    x = 6,201.92

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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.