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Finding the Fourth Proportional to 5,375.16, 8,065.85 and 2,254.89

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Solution

The fourth proportional to 5,375.16, 8,065.85 and 2,254.89 is: 3,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.16 : 8,065.85 = 2,254.89 : x
  2. Step 2: Convert to fraction form
    5,375.16/8,065.85 = 2,254.89/x
  3. Step 3: Cross multiply
    5,375.16x = 8,065.85 × 2,254.89
  4. Step 4: Simplify right side
    5,375.16x = 18,187,604.51
  5. Step 5: Solve for x
    x = 18,187,604.51/5,375.16
  6. Step 6: Final answer
    x = 3,383.64

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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.