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Finding the Fourth Proportional to 6,180.76, 9,259.52 and 3,057.14

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Solution

The fourth proportional to 6,180.76, 9,259.52 and 3,057.14 is: 4,579.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.76 : 9,259.52 = 3,057.14 : x
  2. Step 2: Convert to fraction form
    6,180.76/9,259.52 = 3,057.14/x
  3. Step 3: Cross multiply
    6,180.76x = 9,259.52 × 3,057.14
  4. Step 4: Simplify right side
    6,180.76x = 28,307,648.97
  5. Step 5: Solve for x
    x = 28,307,648.97/6,180.76
  6. Step 6: Final answer
    x = 4,579.96

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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.