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Finding the Fourth Proportional to 3,463.12, 4,779.25 and 1,971.41

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Solution

The fourth proportional to 3,463.12, 4,779.25 and 1,971.41 is: 2,720.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.12 : 4,779.25 = 1,971.41 : x
  2. Step 2: Convert to fraction form
    3,463.12/4,779.25 = 1,971.41/x
  3. Step 3: Cross multiply
    3,463.12x = 4,779.25 × 1,971.41
  4. Step 4: Simplify right side
    3,463.12x = 9,421,843.51
  5. Step 5: Solve for x
    x = 9,421,843.51/3,463.12
  6. Step 6: Final answer
    x = 2,720.62

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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.