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Finding the Fourth Proportional to 3,705.83, 5,114.49 and 2,133.89

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Solution

The fourth proportional to 3,705.83, 5,114.49 and 2,133.89 is: 2,945.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.83 : 5,114.49 = 2,133.89 : x
  2. Step 2: Convert to fraction form
    3,705.83/5,114.49 = 2,133.89/x
  3. Step 3: Cross multiply
    3,705.83x = 5,114.49 × 2,133.89
  4. Step 4: Simplify right side
    3,705.83x = 10,913,759.07
  5. Step 5: Solve for x
    x = 10,913,759.07/3,705.83
  6. Step 6: Final answer
    x = 2,945.02

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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.