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Finding the Fourth Proportional to 4,962.67, 6,848.50 and 2,866.80

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Solution

The fourth proportional to 4,962.67, 6,848.50 and 2,866.80 is: 3,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.67 : 6,848.50 = 2,866.80 : x
  2. Step 2: Convert to fraction form
    4,962.67/6,848.50 = 2,866.80/x
  3. Step 3: Cross multiply
    4,962.67x = 6,848.50 × 2,866.80
  4. Step 4: Simplify right side
    4,962.67x = 19,633,231.22
  5. Step 5: Solve for x
    x = 19,633,231.22/4,962.67
  6. Step 6: Final answer
    x = 3,956.18

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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.