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Finding the Fourth Proportional to 5,910.67, 8,157.63 and 4,492.05

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Solution

The fourth proportional to 5,910.67, 8,157.63 and 4,492.05 is: 6,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910.67 : 8,157.63 = 4,492.05 : x
  2. Step 2: Convert to fraction form
    5,910.67/8,157.63 = 4,492.05/x
  3. Step 3: Cross multiply
    5,910.67x = 8,157.63 × 4,492.05
  4. Step 4: Simplify right side
    5,910.67x = 36,644,481.84
  5. Step 5: Solve for x
    x = 36,644,481.84/5,910.67
  6. Step 6: Final answer
    x = 6,199.72

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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.