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Finding the Fourth Proportional to 3,458.24, 5,176.24 and 1,812.48

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Solution

The fourth proportional to 3,458.24, 5,176.24 and 1,812.48 is: 2,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.24 : 5,176.24 = 1,812.48 : x
  2. Step 2: Convert to fraction form
    3,458.24/5,176.24 = 1,812.48/x
  3. Step 3: Cross multiply
    3,458.24x = 5,176.24 × 1,812.48
  4. Step 4: Simplify right side
    3,458.24x = 9,381,831.48
  5. Step 5: Solve for x
    x = 9,381,831.48/3,458.24
  6. Step 6: Final answer
    x = 2,712.89

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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.