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Finding the Fourth Proportional to 4,566.88, 6,296.43 and 3,726.73

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Solution

The fourth proportional to 4,566.88, 6,296.43 and 3,726.73 is: 5,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.88 : 6,296.43 = 3,726.73 : x
  2. Step 2: Convert to fraction form
    4,566.88/6,296.43 = 3,726.73/x
  3. Step 3: Cross multiply
    4,566.88x = 6,296.43 × 3,726.73
  4. Step 4: Simplify right side
    4,566.88x = 23,465,094.57
  5. Step 5: Solve for x
    x = 23,465,094.57/4,566.88
  6. Step 6: Final answer
    x = 5,138.10

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