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Finding the Fourth Proportional to 3,820.36, 5,730.32 and 1,223.10

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Solution

The fourth proportional to 3,820.36, 5,730.32 and 1,223.10 is: 1,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.36 : 5,730.32 = 1,223.10 : x
  2. Step 2: Convert to fraction form
    3,820.36/5,730.32 = 1,223.10/x
  3. Step 3: Cross multiply
    3,820.36x = 5,730.32 × 1,223.10
  4. Step 4: Simplify right side
    3,820.36x = 7,008,754.39
  5. Step 5: Solve for x
    x = 7,008,754.39/3,820.36
  6. Step 6: Final answer
    x = 1,834.58

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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.