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Finding the Fourth Proportional to 6,674.28, 9,210.80 and 4,157.88

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Solution

The fourth proportional to 6,674.28, 9,210.80 and 4,157.88 is: 5,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.28 : 9,210.80 = 4,157.88 : x
  2. Step 2: Convert to fraction form
    6,674.28/9,210.80 = 4,157.88/x
  3. Step 3: Cross multiply
    6,674.28x = 9,210.80 × 4,157.88
  4. Step 4: Simplify right side
    6,674.28x = 38,297,401.10
  5. Step 5: Solve for x
    x = 38,297,401.10/6,674.28
  6. Step 6: Final answer
    x = 5,738.06

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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.