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Finding the Fourth Proportional to 5,841.72, 8,056.30 and 3,851.64

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Solution

The fourth proportional to 5,841.72, 8,056.30 and 3,851.64 is: 5,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.72 : 8,056.30 = 3,851.64 : x
  2. Step 2: Convert to fraction form
    5,841.72/8,056.30 = 3,851.64/x
  3. Step 3: Cross multiply
    5,841.72x = 8,056.30 × 3,851.64
  4. Step 4: Simplify right side
    5,841.72x = 31,029,967.33
  5. Step 5: Solve for x
    x = 31,029,967.33/5,841.72
  6. Step 6: Final answer
    x = 5,311.79

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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.