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Finding the Fourth Proportional to 3,461.64, 5,190.63 and 1,380.57

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Solution

The fourth proportional to 3,461.64, 5,190.63 and 1,380.57 is: 2,070.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.64 : 5,190.63 = 1,380.57 : x
  2. Step 2: Convert to fraction form
    3,461.64/5,190.63 = 1,380.57/x
  3. Step 3: Cross multiply
    3,461.64x = 5,190.63 × 1,380.57
  4. Step 4: Simplify right side
    3,461.64x = 7,166,028.06
  5. Step 5: Solve for x
    x = 7,166,028.06/3,461.64
  6. Step 6: Final answer
    x = 2,070.13

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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.