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Finding the Fourth Proportional to 5,829.94, 8,744.88 and 1,447.36

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Solution

The fourth proportional to 5,829.94, 8,744.88 and 1,447.36 is: 2,171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.94 : 8,744.88 = 1,447.36 : x
  2. Step 2: Convert to fraction form
    5,829.94/8,744.88 = 1,447.36/x
  3. Step 3: Cross multiply
    5,829.94x = 8,744.88 × 1,447.36
  4. Step 4: Simplify right side
    5,829.94x = 12,656,989.52
  5. Step 5: Solve for x
    x = 12,656,989.52/5,829.94
  6. Step 6: Final answer
    x = 2,171.03

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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.