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Finding the Fourth Proportional to 3,852.37, 5,778.56 and 1,542.25

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Solution

The fourth proportional to 3,852.37, 5,778.56 and 1,542.25 is: 2,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.37 : 5,778.56 = 1,542.25 : x
  2. Step 2: Convert to fraction form
    3,852.37/5,778.56 = 1,542.25/x
  3. Step 3: Cross multiply
    3,852.37x = 5,778.56 × 1,542.25
  4. Step 4: Simplify right side
    3,852.37x = 8,911,976.45
  5. Step 5: Solve for x
    x = 8,911,976.45/3,852.37
  6. Step 6: Final answer
    x = 2,313.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.