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Finding the Fourth Proportional to 5,861.16, 8,091.90 and 5,205.06

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Solution

The fourth proportional to 5,861.16, 8,091.90 and 5,205.06 is: 7,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861.16 : 8,091.90 = 5,205.06 : x
  2. Step 2: Convert to fraction form
    5,861.16/8,091.90 = 5,205.06/x
  3. Step 3: Cross multiply
    5,861.16x = 8,091.90 × 5,205.06
  4. Step 4: Simplify right side
    5,861.16x = 42,118,825.01
  5. Step 5: Solve for x
    x = 42,118,825.01/5,861.16
  6. Step 6: Final answer
    x = 7,186.09

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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.