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Finding the Fourth Proportional to 3,029.35, 4,544.57 and 838.03

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Solution

The fourth proportional to 3,029.35, 4,544.57 and 838.03 is: 1,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.35 : 4,544.57 = 838.03 : x
  2. Step 2: Convert to fraction form
    3,029.35/4,544.57 = 838.03/x
  3. Step 3: Cross multiply
    3,029.35x = 4,544.57 × 838.03
  4. Step 4: Simplify right side
    3,029.35x = 3,808,481.81
  5. Step 5: Solve for x
    x = 3,808,481.81/3,029.35
  6. Step 6: Final answer
    x = 1,257.19

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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.