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Finding the Fourth Proportional to 5,726.98, 7,907.04 and 4,398.31

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Solution

The fourth proportional to 5,726.98, 7,907.04 and 4,398.31 is: 6,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.98 : 7,907.04 = 4,398.31 : x
  2. Step 2: Convert to fraction form
    5,726.98/7,907.04 = 4,398.31/x
  3. Step 3: Cross multiply
    5,726.98x = 7,907.04 × 4,398.31
  4. Step 4: Simplify right side
    5,726.98x = 34,777,551.58
  5. Step 5: Solve for x
    x = 34,777,551.58/5,726.98
  6. Step 6: Final answer
    x = 6,072.59

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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.