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Finding the Fourth Proportional to 3,783.47, 5,224.50 and 3,659.54

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Solution

The fourth proportional to 3,783.47, 5,224.50 and 3,659.54 is: 5,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.47 : 5,224.50 = 3,659.54 : x
  2. Step 2: Convert to fraction form
    3,783.47/5,224.50 = 3,659.54/x
  3. Step 3: Cross multiply
    3,783.47x = 5,224.50 × 3,659.54
  4. Step 4: Simplify right side
    3,783.47x = 19,119,240.61
  5. Step 5: Solve for x
    x = 19,119,240.61/3,783.47
  6. Step 6: Final answer
    x = 5,053.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.