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Finding the Fourth Proportional to 5,738.68, 8,589.30 and 3,549.16

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Solution

The fourth proportional to 5,738.68, 8,589.30 and 3,549.16 is: 5,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.68 : 8,589.30 = 3,549.16 : x
  2. Step 2: Convert to fraction form
    5,738.68/8,589.30 = 3,549.16/x
  3. Step 3: Cross multiply
    5,738.68x = 8,589.30 × 3,549.16
  4. Step 4: Simplify right side
    5,738.68x = 30,484,799.99
  5. Step 5: Solve for x
    x = 30,484,799.99/5,738.68
  6. Step 6: Final answer
    x = 5,312.16

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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.