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Finding the Fourth Proportional to 4,114.67, 6,163.13 and 2,354.72

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Solution

The fourth proportional to 4,114.67, 6,163.13 and 2,354.72 is: 3,527.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.67 : 6,163.13 = 2,354.72 : x
  2. Step 2: Convert to fraction form
    4,114.67/6,163.13 = 2,354.72/x
  3. Step 3: Cross multiply
    4,114.67x = 6,163.13 × 2,354.72
  4. Step 4: Simplify right side
    4,114.67x = 14,512,402.88
  5. Step 5: Solve for x
    x = 14,512,402.88/4,114.67
  6. Step 6: Final answer
    x = 3,527.00

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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.