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Finding the Fourth Proportional to 5,241.24, 7,854.91 and 3,848.06

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Solution

The fourth proportional to 5,241.24, 7,854.91 and 3,848.06 is: 5,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.24 : 7,854.91 = 3,848.06 : x
  2. Step 2: Convert to fraction form
    5,241.24/7,854.91 = 3,848.06/x
  3. Step 3: Cross multiply
    5,241.24x = 7,854.91 × 3,848.06
  4. Step 4: Simplify right side
    5,241.24x = 30,226,164.97
  5. Step 5: Solve for x
    x = 30,226,164.97/5,241.24
  6. Step 6: Final answer
    x = 5,766.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.