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Finding the Fourth Proportional to 3,726.90, 5,590.49 and 3,076.47

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Solution

The fourth proportional to 3,726.90, 5,590.49 and 3,076.47 is: 4,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.90 : 5,590.49 = 3,076.47 : x
  2. Step 2: Convert to fraction form
    3,726.90/5,590.49 = 3,076.47/x
  3. Step 3: Cross multiply
    3,726.90x = 5,590.49 × 3,076.47
  4. Step 4: Simplify right side
    3,726.90x = 17,198,959.39
  5. Step 5: Solve for x
    x = 17,198,959.39/3,726.90
  6. Step 6: Final answer
    x = 4,614.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.