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Finding the Fourth Proportional to 4,670.48, 7,007.66 and 1,896.43

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Solution

The fourth proportional to 4,670.48, 7,007.66 and 1,896.43 is: 2,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.48 : 7,007.66 = 1,896.43 : x
  2. Step 2: Convert to fraction form
    4,670.48/7,007.66 = 1,896.43/x
  3. Step 3: Cross multiply
    4,670.48x = 7,007.66 × 1,896.43
  4. Step 4: Simplify right side
    4,670.48x = 13,289,540.57
  5. Step 5: Solve for x
    x = 13,289,540.57/4,670.48
  6. Step 6: Final answer
    x = 2,845.44

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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.