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Finding the Fourth Proportional to 5,698.74, 8,543.03 and 3,067.67

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Solution

The fourth proportional to 5,698.74, 8,543.03 and 3,067.67 is: 4,598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.74 : 8,543.03 = 3,067.67 : x
  2. Step 2: Convert to fraction form
    5,698.74/8,543.03 = 3,067.67/x
  3. Step 3: Cross multiply
    5,698.74x = 8,543.03 × 3,067.67
  4. Step 4: Simplify right side
    5,698.74x = 26,207,138.79
  5. Step 5: Solve for x
    x = 26,207,138.79/5,698.74
  6. Step 6: Final answer
    x = 4,598.76

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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.