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Finding the Fourth Proportional to 3,430.89, 5,144.81 and 1,239.64

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Solution

The fourth proportional to 3,430.89, 5,144.81 and 1,239.64 is: 1,858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.89 : 5,144.81 = 1,239.64 : x
  2. Step 2: Convert to fraction form
    3,430.89/5,144.81 = 1,239.64/x
  3. Step 3: Cross multiply
    3,430.89x = 5,144.81 × 1,239.64
  4. Step 4: Simplify right side
    3,430.89x = 6,377,686.54
  5. Step 5: Solve for x
    x = 6,377,686.54/3,430.89
  6. Step 6: Final answer
    x = 1,858.90

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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.