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Finding the Fourth Proportional to 4,191.77, 6,288.42 and 1,380.76

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Solution

The fourth proportional to 4,191.77, 6,288.42 and 1,380.76 is: 2,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.77 : 6,288.42 = 1,380.76 : x
  2. Step 2: Convert to fraction form
    4,191.77/6,288.42 = 1,380.76/x
  3. Step 3: Cross multiply
    4,191.77x = 6,288.42 × 1,380.76
  4. Step 4: Simplify right side
    4,191.77x = 8,682,798.80
  5. Step 5: Solve for x
    x = 8,682,798.80/4,191.77
  6. Step 6: Final answer
    x = 2,071.39

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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.