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Finding the Fourth Proportional to 6,182.69, 9,280.19 and 2,898.14

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Solution

The fourth proportional to 6,182.69, 9,280.19 and 2,898.14 is: 4,350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.69 : 9,280.19 = 2,898.14 : x
  2. Step 2: Convert to fraction form
    6,182.69/9,280.19 = 2,898.14/x
  3. Step 3: Cross multiply
    6,182.69x = 9,280.19 × 2,898.14
  4. Step 4: Simplify right side
    6,182.69x = 26,895,250.69
  5. Step 5: Solve for x
    x = 26,895,250.69/6,182.69
  6. Step 6: Final answer
    x = 4,350.09

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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.