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Finding the Fourth Proportional to 3,762.16, 5,638.50 and 2,666.80

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Solution

The fourth proportional to 3,762.16, 5,638.50 and 2,666.80 is: 3,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.16 : 5,638.50 = 2,666.80 : x
  2. Step 2: Convert to fraction form
    3,762.16/5,638.50 = 2,666.80/x
  3. Step 3: Cross multiply
    3,762.16x = 5,638.50 × 2,666.80
  4. Step 4: Simplify right side
    3,762.16x = 15,036,751.80
  5. Step 5: Solve for x
    x = 15,036,751.80/3,762.16
  6. Step 6: Final answer
    x = 3,996.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.