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Finding the Fourth Proportional to 5,470.74, 7,550.97 and 3,114.24

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Solution

The fourth proportional to 5,470.74, 7,550.97 and 3,114.24 is: 4,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.74 : 7,550.97 = 3,114.24 : x
  2. Step 2: Convert to fraction form
    5,470.74/7,550.97 = 3,114.24/x
  3. Step 3: Cross multiply
    5,470.74x = 7,550.97 × 3,114.24
  4. Step 4: Simplify right side
    5,470.74x = 23,515,532.81
  5. Step 5: Solve for x
    x = 23,515,532.81/5,470.74
  6. Step 6: Final answer
    x = 4,298.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.