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Finding the Fourth Proportional to 3,463.72, 4,779.97 and 1,971.73

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Solution

The fourth proportional to 3,463.72, 4,779.97 and 1,971.73 is: 2,721.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.72 : 4,779.97 = 1,971.73 : x
  2. Step 2: Convert to fraction form
    3,463.72/4,779.97 = 1,971.73/x
  3. Step 3: Cross multiply
    3,463.72x = 4,779.97 × 1,971.73
  4. Step 4: Simplify right side
    3,463.72x = 9,424,811.29
  5. Step 5: Solve for x
    x = 9,424,811.29/3,463.72
  6. Step 6: Final answer
    x = 2,721.01

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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.