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Finding the Fourth Proportional to 3,829.78, 5,744.66 and 1,056.46

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Solution

The fourth proportional to 3,829.78, 5,744.66 and 1,056.46 is: 1,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.78 : 5,744.66 = 1,056.46 : x
  2. Step 2: Convert to fraction form
    3,829.78/5,744.66 = 1,056.46/x
  3. Step 3: Cross multiply
    3,829.78x = 5,744.66 × 1,056.46
  4. Step 4: Simplify right side
    3,829.78x = 6,069,003.50
  5. Step 5: Solve for x
    x = 6,069,003.50/3,829.78
  6. Step 6: Final answer
    x = 1,584.69

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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.