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Finding the Fourth Proportional to 3,820.64, 5,731.02 and 1,225.40

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Solution

The fourth proportional to 3,820.64, 5,731.02 and 1,225.40 is: 1,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.64 : 5,731.02 = 1,225.40 : x
  2. Step 2: Convert to fraction form
    3,820.64/5,731.02 = 1,225.40/x
  3. Step 3: Cross multiply
    3,820.64x = 5,731.02 × 1,225.40
  4. Step 4: Simplify right side
    3,820.64x = 7,022,791.91
  5. Step 5: Solve for x
    x = 7,022,791.91/3,820.64
  6. Step 6: Final answer
    x = 1,838.12

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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.