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Finding the Fourth Proportional to 3,838.37, 5,757.68 and 1,065.07

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Solution

The fourth proportional to 3,838.37, 5,757.68 and 1,065.07 is: 1,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.37 : 5,757.68 = 1,065.07 : x
  2. Step 2: Convert to fraction form
    3,838.37/5,757.68 = 1,065.07/x
  3. Step 3: Cross multiply
    3,838.37x = 5,757.68 × 1,065.07
  4. Step 4: Simplify right side
    3,838.37x = 6,132,332.24
  5. Step 5: Solve for x
    x = 6,132,332.24/3,838.37
  6. Step 6: Final answer
    x = 1,597.64

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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.