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Finding the Fourth Proportional to 5,812.24, 8,722.20 and 3,470.52

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Solution

The fourth proportional to 5,812.24, 8,722.20 and 3,470.52 is: 5,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.24 : 8,722.20 = 3,470.52 : x
  2. Step 2: Convert to fraction form
    5,812.24/8,722.20 = 3,470.52/x
  3. Step 3: Cross multiply
    5,812.24x = 8,722.20 × 3,470.52
  4. Step 4: Simplify right side
    5,812.24x = 30,270,569.54
  5. Step 5: Solve for x
    x = 30,270,569.54/5,812.24
  6. Step 6: Final answer
    x = 5,208.07

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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.