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Finding the Fourth Proportional to 4,542.04, 6,809.12 and 3,768.48

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Solution

The fourth proportional to 4,542.04, 6,809.12 and 3,768.48 is: 5,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.04 : 6,809.12 = 3,768.48 : x
  2. Step 2: Convert to fraction form
    4,542.04/6,809.12 = 3,768.48/x
  3. Step 3: Cross multiply
    4,542.04x = 6,809.12 × 3,768.48
  4. Step 4: Simplify right side
    4,542.04x = 25,660,032.54
  5. Step 5: Solve for x
    x = 25,660,032.54/4,542.04
  6. Step 6: Final answer
    x = 5,649.45

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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.