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Finding the Fourth Proportional to 3,776.67, 5,666.87 and 1,698.14

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Solution

The fourth proportional to 3,776.67, 5,666.87 and 1,698.14 is: 2,548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.67 : 5,666.87 = 1,698.14 : x
  2. Step 2: Convert to fraction form
    3,776.67/5,666.87 = 1,698.14/x
  3. Step 3: Cross multiply
    3,776.67x = 5,666.87 × 1,698.14
  4. Step 4: Simplify right side
    3,776.67x = 9,623,144.30
  5. Step 5: Solve for x
    x = 9,623,144.30/3,776.67
  6. Step 6: Final answer
    x = 2,548.05

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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.