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Finding the Fourth Proportional to 4,771.02, 6,584.40 and 2,647.22

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Solution

The fourth proportional to 4,771.02, 6,584.40 and 2,647.22 is: 3,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.02 : 6,584.40 = 2,647.22 : x
  2. Step 2: Convert to fraction form
    4,771.02/6,584.40 = 2,647.22/x
  3. Step 3: Cross multiply
    4,771.02x = 6,584.40 × 2,647.22
  4. Step 4: Simplify right side
    4,771.02x = 17,430,355.37
  5. Step 5: Solve for x
    x = 17,430,355.37/4,771.02
  6. Step 6: Final answer
    x = 3,653.38

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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.