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Finding the Fourth Proportional to 4,594.26, 6,893.67 and 1,820.87

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Solution

The fourth proportional to 4,594.26, 6,893.67 and 1,820.87 is: 2,732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.26 : 6,893.67 = 1,820.87 : x
  2. Step 2: Convert to fraction form
    4,594.26/6,893.67 = 1,820.87/x
  3. Step 3: Cross multiply
    4,594.26x = 6,893.67 × 1,820.87
  4. Step 4: Simplify right side
    4,594.26x = 12,552,471.32
  5. Step 5: Solve for x
    x = 12,552,471.32/4,594.26
  6. Step 6: Final answer
    x = 2,732.21

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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.