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Finding the Fourth Proportional to 3,852.21, 5,778.29 and 930.51

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Solution

The fourth proportional to 3,852.21, 5,778.29 and 930.51 is: 1,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.21 : 5,778.29 = 930.51 : x
  2. Step 2: Convert to fraction form
    3,852.21/5,778.29 = 930.51/x
  3. Step 3: Cross multiply
    3,852.21x = 5,778.29 × 930.51
  4. Step 4: Simplify right side
    3,852.21x = 5,376,751.98
  5. Step 5: Solve for x
    x = 5,376,751.98/3,852.21
  6. Step 6: Final answer
    x = 1,395.76

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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.