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Finding the Fourth Proportional to 5,297.16, 7,945.74 and 3,349.92

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Solution

The fourth proportional to 5,297.16, 7,945.74 and 3,349.92 is: 5,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.16 : 7,945.74 = 3,349.92 : x
  2. Step 2: Convert to fraction form
    5,297.16/7,945.74 = 3,349.92/x
  3. Step 3: Cross multiply
    5,297.16x = 7,945.74 × 3,349.92
  4. Step 4: Simplify right side
    5,297.16x = 26,617,593.34
  5. Step 5: Solve for x
    x = 26,617,593.34/5,297.16
  6. Step 6: Final answer
    x = 5,024.88

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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.