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Finding the Fourth Proportional to 3,405.28, 4,699.22 and 2,007.76

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Solution

The fourth proportional to 3,405.28, 4,699.22 and 2,007.76 is: 2,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.28 : 4,699.22 = 2,007.76 : x
  2. Step 2: Convert to fraction form
    3,405.28/4,699.22 = 2,007.76/x
  3. Step 3: Cross multiply
    3,405.28x = 4,699.22 × 2,007.76
  4. Step 4: Simplify right side
    3,405.28x = 9,434,905.95
  5. Step 5: Solve for x
    x = 9,434,905.95/3,405.28
  6. Step 6: Final answer
    x = 2,770.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.