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Finding the Fourth Proportional to 4,259.84, 6,391.34 and 1,919.14

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Solution

The fourth proportional to 4,259.84, 6,391.34 and 1,919.14 is: 2,879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.84 : 6,391.34 = 1,919.14 : x
  2. Step 2: Convert to fraction form
    4,259.84/6,391.34 = 1,919.14/x
  3. Step 3: Cross multiply
    4,259.84x = 6,391.34 × 1,919.14
  4. Step 4: Simplify right side
    4,259.84x = 12,265,881.05
  5. Step 5: Solve for x
    x = 12,265,881.05/4,259.84
  6. Step 6: Final answer
    x = 2,879.42

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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.