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Finding the Fourth Proportional to 3,427.93, 5,138.26 and 1,782.83

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Solution

The fourth proportional to 3,427.93, 5,138.26 and 1,782.83 is: 2,672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.93 : 5,138.26 = 1,782.83 : x
  2. Step 2: Convert to fraction form
    3,427.93/5,138.26 = 1,782.83/x
  3. Step 3: Cross multiply
    3,427.93x = 5,138.26 × 1,782.83
  4. Step 4: Simplify right side
    3,427.93x = 9,160,635.16
  5. Step 5: Solve for x
    x = 9,160,635.16/3,427.93
  6. Step 6: Final answer
    x = 2,672.35

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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.