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Finding the Fourth Proportional to 3,455.73, 4,770.53 and 2,038.97

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Solution

The fourth proportional to 3,455.73, 4,770.53 and 2,038.97 is: 2,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.73 : 4,770.53 = 2,038.97 : x
  2. Step 2: Convert to fraction form
    3,455.73/4,770.53 = 2,038.97/x
  3. Step 3: Cross multiply
    3,455.73x = 4,770.53 × 2,038.97
  4. Step 4: Simplify right side
    3,455.73x = 9,726,933.51
  5. Step 5: Solve for x
    x = 9,726,933.51/3,455.73
  6. Step 6: Final answer
    x = 2,814.73

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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.