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Finding the Fourth Proportional to 3,798.41, 5,203.85 and 3,656.39

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Solution

The fourth proportional to 3,798.41, 5,203.85 and 3,656.39 is: 5,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.41 : 5,203.85 = 3,656.39 : x
  2. Step 2: Convert to fraction form
    3,798.41/5,203.85 = 3,656.39/x
  3. Step 3: Cross multiply
    3,798.41x = 5,203.85 × 3,656.39
  4. Step 4: Simplify right side
    3,798.41x = 19,027,313.54
  5. Step 5: Solve for x
    x = 19,027,313.54/3,798.41
  6. Step 6: Final answer
    x = 5,009.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.