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Finding the Fourth Proportional to 3,896.19, 5,842.26 and 3,006.45

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Solution

The fourth proportional to 3,896.19, 5,842.26 and 3,006.45 is: 4,508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.19 : 5,842.26 = 3,006.45 : x
  2. Step 2: Convert to fraction form
    3,896.19/5,842.26 = 3,006.45/x
  3. Step 3: Cross multiply
    3,896.19x = 5,842.26 × 3,006.45
  4. Step 4: Simplify right side
    3,896.19x = 17,564,462.58
  5. Step 5: Solve for x
    x = 17,564,462.58/3,896.19
  6. Step 6: Final answer
    x = 4,508.11

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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.