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Finding the Fourth Proportional to 4,842.98, 6,683.25 and 2,853.62

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Solution

The fourth proportional to 4,842.98, 6,683.25 and 2,853.62 is: 3,937.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.98 : 6,683.25 = 2,853.62 : x
  2. Step 2: Convert to fraction form
    4,842.98/6,683.25 = 2,853.62/x
  3. Step 3: Cross multiply
    4,842.98x = 6,683.25 × 2,853.62
  4. Step 4: Simplify right side
    4,842.98x = 19,071,455.87
  5. Step 5: Solve for x
    x = 19,071,455.87/4,842.98
  6. Step 6: Final answer
    x = 3,937.96

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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.