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Finding the Fourth Proportional to 5,241.46, 7,854.67 and 4,065.96

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Solution

The fourth proportional to 5,241.46, 7,854.67 and 4,065.96 is: 6,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.46 : 7,854.67 = 4,065.96 : x
  2. Step 2: Convert to fraction form
    5,241.46/7,854.67 = 4,065.96/x
  3. Step 3: Cross multiply
    5,241.46x = 7,854.67 × 4,065.96
  4. Step 4: Simplify right side
    5,241.46x = 31,936,774.03
  5. Step 5: Solve for x
    x = 31,936,774.03/5,241.46
  6. Step 6: Final answer
    x = 6,093.11

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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.