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Finding the Fourth Proportional to 5,726.97, 8,590.45 and 2,028.31

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Solution

The fourth proportional to 5,726.97, 8,590.45 and 2,028.31 is: 3,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.97 : 8,590.45 = 2,028.31 : x
  2. Step 2: Convert to fraction form
    5,726.97/8,590.45 = 2,028.31/x
  3. Step 3: Cross multiply
    5,726.97x = 8,590.45 × 2,028.31
  4. Step 4: Simplify right side
    5,726.97x = 17,424,095.64
  5. Step 5: Solve for x
    x = 17,424,095.64/5,726.97
  6. Step 6: Final answer
    x = 3,042.46

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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.