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Finding the Fourth Proportional to 6,078.58, 9,112.40 and 2,182.07

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Solution

The fourth proportional to 6,078.58, 9,112.40 and 2,182.07 is: 3,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.58 : 9,112.40 = 2,182.07 : x
  2. Step 2: Convert to fraction form
    6,078.58/9,112.40 = 2,182.07/x
  3. Step 3: Cross multiply
    6,078.58x = 9,112.40 × 2,182.07
  4. Step 4: Simplify right side
    6,078.58x = 19,883,906.54
  5. Step 5: Solve for x
    x = 19,883,906.54/6,078.58
  6. Step 6: Final answer
    x = 3,271.14

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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.