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Finding the Fourth Proportional to 3,626.46, 5,440.50 and 1,029.42

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Solution

The fourth proportional to 3,626.46, 5,440.50 and 1,029.42 is: 1,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.46 : 5,440.50 = 1,029.42 : x
  2. Step 2: Convert to fraction form
    3,626.46/5,440.50 = 1,029.42/x
  3. Step 3: Cross multiply
    3,626.46x = 5,440.50 × 1,029.42
  4. Step 4: Simplify right side
    3,626.46x = 5,600,559.51
  5. Step 5: Solve for x
    x = 5,600,559.51/3,626.46
  6. Step 6: Final answer
    x = 1,544.36

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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.