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Finding the Fourth Proportional to 3,764.71, 5,194.70 and 2,366.47

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Solution

The fourth proportional to 3,764.71, 5,194.70 and 2,366.47 is: 3,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.71 : 5,194.70 = 2,366.47 : x
  2. Step 2: Convert to fraction form
    3,764.71/5,194.70 = 2,366.47/x
  3. Step 3: Cross multiply
    3,764.71x = 5,194.70 × 2,366.47
  4. Step 4: Simplify right side
    3,764.71x = 12,293,089.88
  5. Step 5: Solve for x
    x = 12,293,089.88/3,764.71
  6. Step 6: Final answer
    x = 3,265.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.