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Finding the Fourth Proportional to 5,014.44, 6,920.10 and 2,919

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Solution

The fourth proportional to 5,014.44, 6,920.10 and 2,919 is: 4,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,014.44 : 6,920.10 = 2,919 : x
  2. Step 2: Convert to fraction form
    5,014.44/6,920.10 = 2,919/x
  3. Step 3: Cross multiply
    5,014.44x = 6,920.10 × 2,919
  4. Step 4: Simplify right side
    5,014.44x = 20,199,771.90
  5. Step 5: Solve for x
    x = 20,199,771.90/5,014.44
  6. Step 6: Final answer
    x = 4,028.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.