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Finding the Fourth Proportional to 4,783.70, 7,166.42 and 2,804.46

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Solution

The fourth proportional to 4,783.70, 7,166.42 and 2,804.46 is: 4,201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.70 : 7,166.42 = 2,804.46 : x
  2. Step 2: Convert to fraction form
    4,783.70/7,166.42 = 2,804.46/x
  3. Step 3: Cross multiply
    4,783.70x = 7,166.42 × 2,804.46
  4. Step 4: Simplify right side
    4,783.70x = 20,097,938.23
  5. Step 5: Solve for x
    x = 20,097,938.23/4,783.70
  6. Step 6: Final answer
    x = 4,201.34

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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.