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Finding the Fourth Proportional to 3,823.01, 5,730.87 and 1,224.17

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Solution

The fourth proportional to 3,823.01, 5,730.87 and 1,224.17 is: 1,835.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.01 : 5,730.87 = 1,224.17 : x
  2. Step 2: Convert to fraction form
    3,823.01/5,730.87 = 1,224.17/x
  3. Step 3: Cross multiply
    3,823.01x = 5,730.87 × 1,224.17
  4. Step 4: Simplify right side
    3,823.01x = 7,015,559.13
  5. Step 5: Solve for x
    x = 7,015,559.13/3,823.01
  6. Step 6: Final answer
    x = 1,835.09

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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.