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Finding the Fourth Proportional to 3,794.47, 5,690.47 and 1,454.35

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Solution

The fourth proportional to 3,794.47, 5,690.47 and 1,454.35 is: 2,181.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.47 : 5,690.47 = 1,454.35 : x
  2. Step 2: Convert to fraction form
    3,794.47/5,690.47 = 1,454.35/x
  3. Step 3: Cross multiply
    3,794.47x = 5,690.47 × 1,454.35
  4. Step 4: Simplify right side
    3,794.47x = 8,275,917.18
  5. Step 5: Solve for x
    x = 8,275,917.18/3,794.47
  6. Step 6: Final answer
    x = 2,181.05

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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.