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Finding the Fourth Proportional to 5,096.79, 7,645.94 and 1,809.60

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Solution

The fourth proportional to 5,096.79, 7,645.94 and 1,809.60 is: 2,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.79 : 7,645.94 = 1,809.60 : x
  2. Step 2: Convert to fraction form
    5,096.79/7,645.94 = 1,809.60/x
  3. Step 3: Cross multiply
    5,096.79x = 7,645.94 × 1,809.60
  4. Step 4: Simplify right side
    5,096.79x = 13,836,107.61
  5. Step 5: Solve for x
    x = 13,836,107.61/5,096.79
  6. Step 6: Final answer
    x = 2,714.67

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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.