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Finding the Fourth Proportional to 4,762.25, 6,571.89 and 2,666.37

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Solution

The fourth proportional to 4,762.25, 6,571.89 and 2,666.37 is: 3,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.25 : 6,571.89 = 2,666.37 : x
  2. Step 2: Convert to fraction form
    4,762.25/6,571.89 = 2,666.37/x
  3. Step 3: Cross multiply
    4,762.25x = 6,571.89 × 2,666.37
  4. Step 4: Simplify right side
    4,762.25x = 17,523,090.34
  5. Step 5: Solve for x
    x = 17,523,090.34/4,762.25
  6. Step 6: Final answer
    x = 3,679.59

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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.