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Finding the Fourth Proportional to 4,262.82, 6,395.94 and 2,071.32

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Solution

The fourth proportional to 4,262.82, 6,395.94 and 2,071.32 is: 3,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.82 : 6,395.94 = 2,071.32 : x
  2. Step 2: Convert to fraction form
    4,262.82/6,395.94 = 2,071.32/x
  3. Step 3: Cross multiply
    4,262.82x = 6,395.94 × 2,071.32
  4. Step 4: Simplify right side
    4,262.82x = 13,248,038.44
  5. Step 5: Solve for x
    x = 13,248,038.44/4,262.82
  6. Step 6: Final answer
    x = 3,107.81

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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.