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Finding the Fourth Proportional to 5,829.36, 8,743.92 and 1,446.72

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Solution

The fourth proportional to 5,829.36, 8,743.92 and 1,446.72 is: 2,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.36 : 8,743.92 = 1,446.72 : x
  2. Step 2: Convert to fraction form
    5,829.36/8,743.92 = 1,446.72/x
  3. Step 3: Cross multiply
    5,829.36x = 8,743.92 × 1,446.72
  4. Step 4: Simplify right side
    5,829.36x = 12,650,003.94
  5. Step 5: Solve for x
    x = 12,650,003.94/5,829.36
  6. Step 6: Final answer
    x = 2,170.05

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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.