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Finding the Fourth Proportional to 5,893.41, 8,827.06 and 3,422.10

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Solution

The fourth proportional to 5,893.41, 8,827.06 and 3,422.10 is: 5,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.41 : 8,827.06 = 3,422.10 : x
  2. Step 2: Convert to fraction form
    5,893.41/8,827.06 = 3,422.10/x
  3. Step 3: Cross multiply
    5,893.41x = 8,827.06 × 3,422.10
  4. Step 4: Simplify right side
    5,893.41x = 30,207,082.03
  5. Step 5: Solve for x
    x = 30,207,082.03/5,893.41
  6. Step 6: Final answer
    x = 5,125.57

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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.