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Finding the Fourth Proportional to 3,838.02, 5,757.05 and 1,064.70

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Solution

The fourth proportional to 3,838.02, 5,757.05 and 1,064.70 is: 1,597.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.02 : 5,757.05 = 1,064.70 : x
  2. Step 2: Convert to fraction form
    3,838.02/5,757.05 = 1,064.70/x
  3. Step 3: Cross multiply
    3,838.02x = 5,757.05 × 1,064.70
  4. Step 4: Simplify right side
    3,838.02x = 6,129,531.14
  5. Step 5: Solve for x
    x = 6,129,531.14/3,838.02
  6. Step 6: Final answer
    x = 1,597.06

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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.