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Finding the Fourth Proportional to 4,160.56, 5,741.40 and 2,392.42

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Solution

The fourth proportional to 4,160.56, 5,741.40 and 2,392.42 is: 3,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.56 : 5,741.40 = 2,392.42 : x
  2. Step 2: Convert to fraction form
    4,160.56/5,741.40 = 2,392.42/x
  3. Step 3: Cross multiply
    4,160.56x = 5,741.40 × 2,392.42
  4. Step 4: Simplify right side
    4,160.56x = 13,735,840.19
  5. Step 5: Solve for x
    x = 13,735,840.19/4,160.56
  6. Step 6: Final answer
    x = 3,301.44

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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.