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Finding the Fourth Proportional to 5,271.40, 7,898.46 and 4,113.64

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Solution

The fourth proportional to 5,271.40, 7,898.46 and 4,113.64 is: 6,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.40 : 7,898.46 = 4,113.64 : x
  2. Step 2: Convert to fraction form
    5,271.40/7,898.46 = 4,113.64/x
  3. Step 3: Cross multiply
    5,271.40x = 7,898.46 × 4,113.64
  4. Step 4: Simplify right side
    5,271.40x = 32,491,420.99
  5. Step 5: Solve for x
    x = 32,491,420.99/5,271.40
  6. Step 6: Final answer
    x = 6,163.72

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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.