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Finding the Fourth Proportional to 5,376.42, 8,066.94 and 2,913

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Solution

The fourth proportional to 5,376.42, 8,066.94 and 2,913 is: 4,370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376.42 : 8,066.94 = 2,913 : x
  2. Step 2: Convert to fraction form
    5,376.42/8,066.94 = 2,913/x
  3. Step 3: Cross multiply
    5,376.42x = 8,066.94 × 2,913
  4. Step 4: Simplify right side
    5,376.42x = 23,498,996.22
  5. Step 5: Solve for x
    x = 23,498,996.22/5,376.42
  6. Step 6: Final answer
    x = 4,370.75

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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.