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Finding the Fourth Proportional to 3,818.64, 5,726.72 and 1,220.96

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Solution

The fourth proportional to 3,818.64, 5,726.72 and 1,220.96 is: 1,831.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.64 : 5,726.72 = 1,220.96 : x
  2. Step 2: Convert to fraction form
    3,818.64/5,726.72 = 1,220.96/x
  3. Step 3: Cross multiply
    3,818.64x = 5,726.72 × 1,220.96
  4. Step 4: Simplify right side
    3,818.64x = 6,992,096.05
  5. Step 5: Solve for x
    x = 6,992,096.05/3,818.64
  6. Step 6: Final answer
    x = 1,831.04

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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.