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Finding the Fourth Proportional to 4,208.96, 5,804.96 and 3,703.73

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Solution

The fourth proportional to 4,208.96, 5,804.96 and 3,703.73 is: 5,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.96 : 5,804.96 = 3,703.73 : x
  2. Step 2: Convert to fraction form
    4,208.96/5,804.96 = 3,703.73/x
  3. Step 3: Cross multiply
    4,208.96x = 5,804.96 × 3,703.73
  4. Step 4: Simplify right side
    4,208.96x = 21,499,956.96
  5. Step 5: Solve for x
    x = 21,499,956.96/4,208.96
  6. Step 6: Final answer
    x = 5,108.15

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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.