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Finding the Fourth Proportional to 3,705.33, 5,114.78 and 2,289.25

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Solution

The fourth proportional to 3,705.33, 5,114.78 and 2,289.25 is: 3,160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.33 : 5,114.78 = 2,289.25 : x
  2. Step 2: Convert to fraction form
    3,705.33/5,114.78 = 2,289.25/x
  3. Step 3: Cross multiply
    3,705.33x = 5,114.78 × 2,289.25
  4. Step 4: Simplify right side
    3,705.33x = 11,709,010.12
  5. Step 5: Solve for x
    x = 11,709,010.12/3,705.33
  6. Step 6: Final answer
    x = 3,160.05

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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.