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Finding the Fourth Proportional to 4,165.88, 6,245.55 and 2,084.84

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Solution

The fourth proportional to 4,165.88, 6,245.55 and 2,084.84 is: 3,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.88 : 6,245.55 = 2,084.84 : x
  2. Step 2: Convert to fraction form
    4,165.88/6,245.55 = 2,084.84/x
  3. Step 3: Cross multiply
    4,165.88x = 6,245.55 × 2,084.84
  4. Step 4: Simplify right side
    4,165.88x = 13,020,930.81
  5. Step 5: Solve for x
    x = 13,020,930.81/4,165.88
  6. Step 6: Final answer
    x = 3,125.62

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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.