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Finding the Fourth Proportional to 4,926.96, 6,789.42 and 4,865.64

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Solution

The fourth proportional to 4,926.96, 6,789.42 and 4,865.64 is: 6,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.96 : 6,789.42 = 4,865.64 : x
  2. Step 2: Convert to fraction form
    4,926.96/6,789.42 = 4,865.64/x
  3. Step 3: Cross multiply
    4,926.96x = 6,789.42 × 4,865.64
  4. Step 4: Simplify right side
    4,926.96x = 33,034,873.53
  5. Step 5: Solve for x
    x = 33,034,873.53/4,926.96
  6. Step 6: Final answer
    x = 6,704.92

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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.