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Finding the Fourth Proportional to 3,139.48, 4,709.34 and 1,059.33

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Solution

The fourth proportional to 3,139.48, 4,709.34 and 1,059.33 is: 1,589.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.48 : 4,709.34 = 1,059.33 : x
  2. Step 2: Convert to fraction form
    3,139.48/4,709.34 = 1,059.33/x
  3. Step 3: Cross multiply
    3,139.48x = 4,709.34 × 1,059.33
  4. Step 4: Simplify right side
    3,139.48x = 4,988,736.31
  5. Step 5: Solve for x
    x = 4,988,736.31/3,139.48
  6. Step 6: Final answer
    x = 1,589.03

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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.