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Finding the Fourth Proportional to 3,678.72, 5,518.42 and 1,213.54

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Solution

The fourth proportional to 3,678.72, 5,518.42 and 1,213.54 is: 1,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.72 : 5,518.42 = 1,213.54 : x
  2. Step 2: Convert to fraction form
    3,678.72/5,518.42 = 1,213.54/x
  3. Step 3: Cross multiply
    3,678.72x = 5,518.42 × 1,213.54
  4. Step 4: Simplify right side
    3,678.72x = 6,696,823.41
  5. Step 5: Solve for x
    x = 6,696,823.41/3,678.72
  6. Step 6: Final answer
    x = 1,820.42

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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.