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Finding the Fourth Proportional to 3,430.44, 5,142.78 and 1,379.88

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Solution

The fourth proportional to 3,430.44, 5,142.78 and 1,379.88 is: 2,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.44 : 5,142.78 = 1,379.88 : x
  2. Step 2: Convert to fraction form
    3,430.44/5,142.78 = 1,379.88/x
  3. Step 3: Cross multiply
    3,430.44x = 5,142.78 × 1,379.88
  4. Step 4: Simplify right side
    3,430.44x = 7,096,419.27
  5. Step 5: Solve for x
    x = 7,096,419.27/3,430.44
  6. Step 6: Final answer
    x = 2,068.66

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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.