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Finding the Fourth Proportional to 4,586.67, 6,877.62 and 2,245.64

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Solution

The fourth proportional to 4,586.67, 6,877.62 and 2,245.64 is: 3,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.67 : 6,877.62 = 2,245.64 : x
  2. Step 2: Convert to fraction form
    4,586.67/6,877.62 = 2,245.64/x
  3. Step 3: Cross multiply
    4,586.67x = 6,877.62 × 2,245.64
  4. Step 4: Simplify right side
    4,586.67x = 15,444,624.19
  5. Step 5: Solve for x
    x = 15,444,624.19/4,586.67
  6. Step 6: Final answer
    x = 3,367.28

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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.