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Finding the Fourth Proportional to 4,662.50, 6,433.97 and 2,646

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Solution

The fourth proportional to 4,662.50, 6,433.97 and 2,646 is: 3,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.50 : 6,433.97 = 2,646 : x
  2. Step 2: Convert to fraction form
    4,662.50/6,433.97 = 2,646/x
  3. Step 3: Cross multiply
    4,662.50x = 6,433.97 × 2,646
  4. Step 4: Simplify right side
    4,662.50x = 17,024,271.39
  5. Step 5: Solve for x
    x = 17,024,271.39/4,662.50
  6. Step 6: Final answer
    x = 3,651.32

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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.