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Finding the Fourth Proportional to 3,457.40, 5,173.14 and 1,919.48

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Solution

The fourth proportional to 3,457.40, 5,173.14 and 1,919.48 is: 2,872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.40 : 5,173.14 = 1,919.48 : x
  2. Step 2: Convert to fraction form
    3,457.40/5,173.14 = 1,919.48/x
  3. Step 3: Cross multiply
    3,457.40x = 5,173.14 × 1,919.48
  4. Step 4: Simplify right side
    3,457.40x = 9,929,738.77
  5. Step 5: Solve for x
    x = 9,929,738.77/3,457.40
  6. Step 6: Final answer
    x = 2,872.02

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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.