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Finding the Fourth Proportional to 3,678.58, 5,514.18 and 1,336.60

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Solution

The fourth proportional to 3,678.58, 5,514.18 and 1,336.60 is: 2,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.58 : 5,514.18 = 1,336.60 : x
  2. Step 2: Convert to fraction form
    3,678.58/5,514.18 = 1,336.60/x
  3. Step 3: Cross multiply
    3,678.58x = 5,514.18 × 1,336.60
  4. Step 4: Simplify right side
    3,678.58x = 7,370,252.99
  5. Step 5: Solve for x
    x = 7,370,252.99/3,678.58
  6. Step 6: Final answer
    x = 2,003.56

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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.