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Finding the Fourth Proportional to 4,762.26, 6,570.32 and 2,771.21

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Solution

The fourth proportional to 4,762.26, 6,570.32 and 2,771.21 is: 3,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.26 : 6,570.32 = 2,771.21 : x
  2. Step 2: Convert to fraction form
    4,762.26/6,570.32 = 2,771.21/x
  3. Step 3: Cross multiply
    4,762.26x = 6,570.32 × 2,771.21
  4. Step 4: Simplify right side
    4,762.26x = 18,207,739.06
  5. Step 5: Solve for x
    x = 18,207,739.06/4,762.26
  6. Step 6: Final answer
    x = 3,823.34

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