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Finding the Fourth Proportional to 3,544.78, 5,317.76 and 1,079.42

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Solution

The fourth proportional to 3,544.78, 5,317.76 and 1,079.42 is: 1,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.78 : 5,317.76 = 1,079.42 : x
  2. Step 2: Convert to fraction form
    3,544.78/5,317.76 = 1,079.42/x
  3. Step 3: Cross multiply
    3,544.78x = 5,317.76 × 1,079.42
  4. Step 4: Simplify right side
    3,544.78x = 5,740,096.50
  5. Step 5: Solve for x
    x = 5,740,096.50/3,544.78
  6. Step 6: Final answer
    x = 1,619.31

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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.