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Finding the Fourth Proportional to 3,678.86, 5,518.91 and 1,214.39

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Solution

The fourth proportional to 3,678.86, 5,518.91 and 1,214.39 is: 1,821.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.86 : 5,518.91 = 1,214.39 : x
  2. Step 2: Convert to fraction form
    3,678.86/5,518.91 = 1,214.39/x
  3. Step 3: Cross multiply
    3,678.86x = 5,518.91 × 1,214.39
  4. Step 4: Simplify right side
    3,678.86x = 6,702,109.11
  5. Step 5: Solve for x
    x = 6,702,109.11/3,678.86
  6. Step 6: Final answer
    x = 1,821.79

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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.