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Finding the Fourth Proportional to 4,956.67, 6,840.16 and 2,860.75

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Solution

The fourth proportional to 4,956.67, 6,840.16 and 2,860.75 is: 3,947.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.67 : 6,840.16 = 2,860.75 : x
  2. Step 2: Convert to fraction form
    4,956.67/6,840.16 = 2,860.75/x
  3. Step 3: Cross multiply
    4,956.67x = 6,840.16 × 2,860.75
  4. Step 4: Simplify right side
    4,956.67x = 19,567,987.72
  5. Step 5: Solve for x
    x = 19,567,987.72/4,956.67
  6. Step 6: Final answer
    x = 3,947.81

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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.