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Finding the Fourth Proportional to 3,956.42, 5,462.16 and 2,385.02

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Solution

The fourth proportional to 3,956.42, 5,462.16 and 2,385.02 is: 3,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.42 : 5,462.16 = 2,385.02 : x
  2. Step 2: Convert to fraction form
    3,956.42/5,462.16 = 2,385.02/x
  3. Step 3: Cross multiply
    3,956.42x = 5,462.16 × 2,385.02
  4. Step 4: Simplify right side
    3,956.42x = 13,027,360.84
  5. Step 5: Solve for x
    x = 13,027,360.84/3,956.42
  6. Step 6: Final answer
    x = 3,292.71

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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.