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Finding the Fourth Proportional to 4,158.94, 5,741.22 and 2,647.12

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Solution

The fourth proportional to 4,158.94, 5,741.22 and 2,647.12 is: 3,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.94 : 5,741.22 = 2,647.12 : x
  2. Step 2: Convert to fraction form
    4,158.94/5,741.22 = 2,647.12/x
  3. Step 3: Cross multiply
    4,158.94x = 5,741.22 × 2,647.12
  4. Step 4: Simplify right side
    4,158.94x = 15,197,698.29
  5. Step 5: Solve for x
    x = 15,197,698.29/4,158.94
  6. Step 6: Final answer
    x = 3,654.22

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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.