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Finding the Fourth Proportional to 3,460.53, 5,190.03 and 1,380.15

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Solution

The fourth proportional to 3,460.53, 5,190.03 and 1,380.15 is: 2,069.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.53 : 5,190.03 = 1,380.15 : x
  2. Step 2: Convert to fraction form
    3,460.53/5,190.03 = 1,380.15/x
  3. Step 3: Cross multiply
    3,460.53x = 5,190.03 × 1,380.15
  4. Step 4: Simplify right side
    3,460.53x = 7,163,019.90
  5. Step 5: Solve for x
    x = 7,163,019.90/3,460.53
  6. Step 6: Final answer
    x = 2,069.92

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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.