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Finding the Fourth Proportional to 3,820.56, 5,728.96 and 1,355.01

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Solution

The fourth proportional to 3,820.56, 5,728.96 and 1,355.01 is: 2,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.56 : 5,728.96 = 1,355.01 : x
  2. Step 2: Convert to fraction form
    3,820.56/5,728.96 = 1,355.01/x
  3. Step 3: Cross multiply
    3,820.56x = 5,728.96 × 1,355.01
  4. Step 4: Simplify right side
    3,820.56x = 7,762,813.65
  5. Step 5: Solve for x
    x = 7,762,813.65/3,820.56
  6. Step 6: Final answer
    x = 2,031.85

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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.