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Finding the Fourth Proportional to 5,988.74, 8,984.47 and 1,829.33

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Solution

The fourth proportional to 5,988.74, 8,984.47 and 1,829.33 is: 2,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,988.74 : 8,984.47 = 1,829.33 : x
  2. Step 2: Convert to fraction form
    5,988.74/8,984.47 = 1,829.33/x
  3. Step 3: Cross multiply
    5,988.74x = 8,984.47 × 1,829.33
  4. Step 4: Simplify right side
    5,988.74x = 16,435,598.67
  5. Step 5: Solve for x
    x = 16,435,598.67/5,988.74
  6. Step 6: Final answer
    x = 2,744.42

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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.