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Finding the Fourth Proportional to 6,271.88, 8,651.38 and 4,147.40

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Solution

The fourth proportional to 6,271.88, 8,651.38 and 4,147.40 is: 5,720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.88 : 8,651.38 = 4,147.40 : x
  2. Step 2: Convert to fraction form
    6,271.88/8,651.38 = 4,147.40/x
  3. Step 3: Cross multiply
    6,271.88x = 8,651.38 × 4,147.40
  4. Step 4: Simplify right side
    6,271.88x = 35,880,733.41
  5. Step 5: Solve for x
    x = 35,880,733.41/6,271.88
  6. Step 6: Final answer
    x = 5,720.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.