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Finding the Fourth Proportional to 3,419.94, 5,133.54 and 2,778.42

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Solution

The fourth proportional to 3,419.94, 5,133.54 and 2,778.42 is: 4,170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.94 : 5,133.54 = 2,778.42 : x
  2. Step 2: Convert to fraction form
    3,419.94/5,133.54 = 2,778.42/x
  3. Step 3: Cross multiply
    3,419.94x = 5,133.54 × 2,778.42
  4. Step 4: Simplify right side
    3,419.94x = 14,263,130.21
  5. Step 5: Solve for x
    x = 14,263,130.21/3,419.94
  6. Step 6: Final answer
    x = 4,170.58

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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.