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Finding the Fourth Proportional to 4,676.67, 7,014.15 and 1,902.60

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Solution

The fourth proportional to 4,676.67, 7,014.15 and 1,902.60 is: 2,853.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.67 : 7,014.15 = 1,902.60 : x
  2. Step 2: Convert to fraction form
    4,676.67/7,014.15 = 1,902.60/x
  3. Step 3: Cross multiply
    4,676.67x = 7,014.15 × 1,902.60
  4. Step 4: Simplify right side
    4,676.67x = 13,345,121.79
  5. Step 5: Solve for x
    x = 13,345,121.79/4,676.67
  6. Step 6: Final answer
    x = 2,853.55

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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.