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Finding the Fourth Proportional to 4,178.64, 6,260.67 and 3,726.66

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Solution

The fourth proportional to 4,178.64, 6,260.67 and 3,726.66 is: 5,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.64 : 6,260.67 = 3,726.66 : x
  2. Step 2: Convert to fraction form
    4,178.64/6,260.67 = 3,726.66/x
  3. Step 3: Cross multiply
    4,178.64x = 6,260.67 × 3,726.66
  4. Step 4: Simplify right side
    4,178.64x = 23,331,388.46
  5. Step 5: Solve for x
    x = 23,331,388.46/4,178.64
  6. Step 6: Final answer
    x = 5,583.49

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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.