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Finding the Fourth Proportional to 3,419.49, 5,129.93 and 1,079.86

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Solution

The fourth proportional to 3,419.49, 5,129.93 and 1,079.86 is: 1,620.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.49 : 5,129.93 = 1,079.86 : x
  2. Step 2: Convert to fraction form
    3,419.49/5,129.93 = 1,079.86/x
  3. Step 3: Cross multiply
    3,419.49x = 5,129.93 × 1,079.86
  4. Step 4: Simplify right side
    3,419.49x = 5,539,606.21
  5. Step 5: Solve for x
    x = 5,539,606.21/3,419.49
  6. Step 6: Final answer
    x = 1,620.01

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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.