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Finding the Fourth Proportional to 3,838.70, 5,758.37 and 1,065.37

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Solution

The fourth proportional to 3,838.70, 5,758.37 and 1,065.37 is: 1,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.70 : 5,758.37 = 1,065.37 : x
  2. Step 2: Convert to fraction form
    3,838.70/5,758.37 = 1,065.37/x
  3. Step 3: Cross multiply
    3,838.70x = 5,758.37 × 1,065.37
  4. Step 4: Simplify right side
    3,838.70x = 6,134,794.65
  5. Step 5: Solve for x
    x = 6,134,794.65/3,838.70
  6. Step 6: Final answer
    x = 1,598.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.