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Finding the Fourth Proportional to 4,157.99, 5,738.04 and 2,389.48

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Solution

The fourth proportional to 4,157.99, 5,738.04 and 2,389.48 is: 3,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.99 : 5,738.04 = 2,389.48 : x
  2. Step 2: Convert to fraction form
    4,157.99/5,738.04 = 2,389.48/x
  3. Step 3: Cross multiply
    4,157.99x = 5,738.04 × 2,389.48
  4. Step 4: Simplify right side
    4,157.99x = 13,710,919.87
  5. Step 5: Solve for x
    x = 13,710,919.87/4,157.99
  6. Step 6: Final answer
    x = 3,297.49

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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.