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Finding the Fourth Proportional to 3,678.94, 5,483.75 and 3,383.69

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Solution

The fourth proportional to 3,678.94, 5,483.75 and 3,383.69 is: 5,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.94 : 5,483.75 = 3,383.69 : x
  2. Step 2: Convert to fraction form
    3,678.94/5,483.75 = 3,383.69/x
  3. Step 3: Cross multiply
    3,678.94x = 5,483.75 × 3,383.69
  4. Step 4: Simplify right side
    3,678.94x = 18,555,323.75
  5. Step 5: Solve for x
    x = 18,555,323.75/3,678.94
  6. Step 6: Final answer
    x = 5,043.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.