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Finding the Fourth Proportional to 5,829.84, 8,744.40 and 2,367.36

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Solution

The fourth proportional to 5,829.84, 8,744.40 and 2,367.36 is: 3,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.84 : 8,744.40 = 2,367.36 : x
  2. Step 2: Convert to fraction form
    5,829.84/8,744.40 = 2,367.36/x
  3. Step 3: Cross multiply
    5,829.84x = 8,744.40 × 2,367.36
  4. Step 4: Simplify right side
    5,829.84x = 20,701,142.78
  5. Step 5: Solve for x
    x = 20,701,142.78/5,829.84
  6. Step 6: Final answer
    x = 3,550.89

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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.