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Finding the Fourth Proportional to 3,841.94, 5,764.54 and 2,284.92

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Solution

The fourth proportional to 3,841.94, 5,764.54 and 2,284.92 is: 3,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.94 : 5,764.54 = 2,284.92 : x
  2. Step 2: Convert to fraction form
    3,841.94/5,764.54 = 2,284.92/x
  3. Step 3: Cross multiply
    3,841.94x = 5,764.54 × 2,284.92
  4. Step 4: Simplify right side
    3,841.94x = 13,171,512.74
  5. Step 5: Solve for x
    x = 13,171,512.74/3,841.94
  6. Step 6: Final answer
    x = 3,428.35

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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.