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Finding the Fourth Proportional to 4,152.21, 5,726.94 and 2,893.34

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Solution

The fourth proportional to 4,152.21, 5,726.94 and 2,893.34 is: 3,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.21 : 5,726.94 = 2,893.34 : x
  2. Step 2: Convert to fraction form
    4,152.21/5,726.94 = 2,893.34/x
  3. Step 3: Cross multiply
    4,152.21x = 5,726.94 × 2,893.34
  4. Step 4: Simplify right side
    4,152.21x = 16,569,984.58
  5. Step 5: Solve for x
    x = 16,569,984.58/4,152.21
  6. Step 6: Final answer
    x = 3,990.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.