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Finding the Fourth Proportional to 3,848.44, 5,772.43 and 1,075.27

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Solution

The fourth proportional to 3,848.44, 5,772.43 and 1,075.27 is: 1,612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.44 : 5,772.43 = 1,075.27 : x
  2. Step 2: Convert to fraction form
    3,848.44/5,772.43 = 1,075.27/x
  3. Step 3: Cross multiply
    3,848.44x = 5,772.43 × 1,075.27
  4. Step 4: Simplify right side
    3,848.44x = 6,206,920.81
  5. Step 5: Solve for x
    x = 6,206,920.81/3,848.44
  6. Step 6: Final answer
    x = 1,612.84

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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.