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Finding the Fourth Proportional to 4,691.63, 6,474.26 and 2,804.26

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Solution

The fourth proportional to 4,691.63, 6,474.26 and 2,804.26 is: 3,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.63 : 6,474.26 = 2,804.26 : x
  2. Step 2: Convert to fraction form
    4,691.63/6,474.26 = 2,804.26/x
  3. Step 3: Cross multiply
    4,691.63x = 6,474.26 × 2,804.26
  4. Step 4: Simplify right side
    4,691.63x = 18,155,495.73
  5. Step 5: Solve for x
    x = 18,155,495.73/4,691.63
  6. Step 6: Final answer
    x = 3,869.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.