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Finding the Fourth Proportional to 3,820.64, 5,732.04 and 1,223.76

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Solution

The fourth proportional to 3,820.64, 5,732.04 and 1,223.76 is: 1,835.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.64 : 5,732.04 = 1,223.76 : x
  2. Step 2: Convert to fraction form
    3,820.64/5,732.04 = 1,223.76/x
  3. Step 3: Cross multiply
    3,820.64x = 5,732.04 × 1,223.76
  4. Step 4: Simplify right side
    3,820.64x = 7,014,641.27
  5. Step 5: Solve for x
    x = 7,014,641.27/3,820.64
  6. Step 6: Final answer
    x = 1,835.99

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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.