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Finding the Fourth Proportional to 4,596.43, 6,893.27 and 1,674.05

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Solution

The fourth proportional to 4,596.43, 6,893.27 and 1,674.05 is: 2,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.43 : 6,893.27 = 1,674.05 : x
  2. Step 2: Convert to fraction form
    4,596.43/6,893.27 = 1,674.05/x
  3. Step 3: Cross multiply
    4,596.43x = 6,893.27 × 1,674.05
  4. Step 4: Simplify right side
    4,596.43x = 11,539,667.93
  5. Step 5: Solve for x
    x = 11,539,667.93/4,596.43
  6. Step 6: Final answer
    x = 2,510.57

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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.