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Finding the Fourth Proportional to 3,454.04, 5,183.04 and 1,262.48

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Solution

The fourth proportional to 3,454.04, 5,183.04 and 1,262.48 is: 1,894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.04 : 5,183.04 = 1,262.48 : x
  2. Step 2: Convert to fraction form
    3,454.04/5,183.04 = 1,262.48/x
  3. Step 3: Cross multiply
    3,454.04x = 5,183.04 × 1,262.48
  4. Step 4: Simplify right side
    3,454.04x = 6,543,484.34
  5. Step 5: Solve for x
    x = 6,543,484.34/3,454.04
  6. Step 6: Final answer
    x = 1,894.44

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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.