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Finding the Fourth Proportional to 6,580.73, 9,078.54 and 4,189.43

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Solution

The fourth proportional to 6,580.73, 9,078.54 and 4,189.43 is: 5,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.73 : 9,078.54 = 4,189.43 : x
  2. Step 2: Convert to fraction form
    6,580.73/9,078.54 = 4,189.43/x
  3. Step 3: Cross multiply
    6,580.73x = 9,078.54 × 4,189.43
  4. Step 4: Simplify right side
    6,580.73x = 38,033,907.83
  5. Step 5: Solve for x
    x = 38,033,907.83/6,580.73
  6. Step 6: Final answer
    x = 5,779.59

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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.