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Finding the Fourth Proportional to 5,741.96, 8,612.82 and 3,271.51

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Solution

The fourth proportional to 5,741.96, 8,612.82 and 3,271.51 is: 4,907.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.96 : 8,612.82 = 3,271.51 : x
  2. Step 2: Convert to fraction form
    5,741.96/8,612.82 = 3,271.51/x
  3. Step 3: Cross multiply
    5,741.96x = 8,612.82 × 3,271.51
  4. Step 4: Simplify right side
    5,741.96x = 28,176,905.23
  5. Step 5: Solve for x
    x = 28,176,905.23/5,741.96
  6. Step 6: Final answer
    x = 4,907.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.