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Finding the Fourth Proportional to 6,580.58, 9,058.31 and 5,739.82

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Solution

The fourth proportional to 6,580.58, 9,058.31 and 5,739.82 is: 7,900.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.58 : 9,058.31 = 5,739.82 : x
  2. Step 2: Convert to fraction form
    6,580.58/9,058.31 = 5,739.82/x
  3. Step 3: Cross multiply
    6,580.58x = 9,058.31 × 5,739.82
  4. Step 4: Simplify right side
    6,580.58x = 51,993,032.86
  5. Step 5: Solve for x
    x = 51,993,032.86/6,580.58
  6. Step 6: Final answer
    x = 7,900.98

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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.