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Finding the Fourth Proportional to 5,189.34, 7,785.33 and 2,723.49

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Solution

The fourth proportional to 5,189.34, 7,785.33 and 2,723.49 is: 4,085.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.34 : 7,785.33 = 2,723.49 : x
  2. Step 2: Convert to fraction form
    5,189.34/7,785.33 = 2,723.49/x
  3. Step 3: Cross multiply
    5,189.34x = 7,785.33 × 2,723.49
  4. Step 4: Simplify right side
    5,189.34x = 21,203,268.40
  5. Step 5: Solve for x
    x = 21,203,268.40/5,189.34
  6. Step 6: Final answer
    x = 4,085.93

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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.