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Finding the Fourth Proportional to 4,965.64, 7,451.42 and 1,845.12

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Solution

The fourth proportional to 4,965.64, 7,451.42 and 1,845.12 is: 2,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.64 : 7,451.42 = 1,845.12 : x
  2. Step 2: Convert to fraction form
    4,965.64/7,451.42 = 1,845.12/x
  3. Step 3: Cross multiply
    4,965.64x = 7,451.42 × 1,845.12
  4. Step 4: Simplify right side
    4,965.64x = 13,748,764.07
  5. Step 5: Solve for x
    x = 13,748,764.07/4,965.64
  6. Step 6: Final answer
    x = 2,768.78

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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.