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Finding the Fourth Proportional to 5,874.59, 8,106.89 and 3,222

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Solution

The fourth proportional to 5,874.59, 8,106.89 and 3,222 is: 4,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.59 : 8,106.89 = 3,222 : x
  2. Step 2: Convert to fraction form
    5,874.59/8,106.89 = 3,222/x
  3. Step 3: Cross multiply
    5,874.59x = 8,106.89 × 3,222
  4. Step 4: Simplify right side
    5,874.59x = 26,120,383.47
  5. Step 5: Solve for x
    x = 26,120,383.47/5,874.59
  6. Step 6: Final answer
    x = 4,446.33

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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.