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Finding the Fourth Proportional to 4,688.82, 6,471.63 and 2,699.73

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Solution

The fourth proportional to 4,688.82, 6,471.63 and 2,699.73 is: 3,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.82 : 6,471.63 = 2,699.73 : x
  2. Step 2: Convert to fraction form
    4,688.82/6,471.63 = 2,699.73/x
  3. Step 3: Cross multiply
    4,688.82x = 6,471.63 × 2,699.73
  4. Step 4: Simplify right side
    4,688.82x = 17,471,653.66
  5. Step 5: Solve for x
    x = 17,471,653.66/4,688.82
  6. Step 6: Final answer
    x = 3,726.24

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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.