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Finding the Fourth Proportional to 3,460.75, 5,191.02 and 1,381.28

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Solution

The fourth proportional to 3,460.75, 5,191.02 and 1,381.28 is: 2,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.75 : 5,191.02 = 1,381.28 : x
  2. Step 2: Convert to fraction form
    3,460.75/5,191.02 = 1,381.28/x
  3. Step 3: Cross multiply
    3,460.75x = 5,191.02 × 1,381.28
  4. Step 4: Simplify right side
    3,460.75x = 7,170,226.15
  5. Step 5: Solve for x
    x = 7,170,226.15/3,460.75
  6. Step 6: Final answer
    x = 2,071.87

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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.