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Finding the Fourth Proportional to 3,777.67, 5,668.37 and 1,699.14

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Solution

The fourth proportional to 3,777.67, 5,668.37 and 1,699.14 is: 2,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.67 : 5,668.37 = 1,699.14 : x
  2. Step 2: Convert to fraction form
    3,777.67/5,668.37 = 1,699.14/x
  3. Step 3: Cross multiply
    3,777.67x = 5,668.37 × 1,699.14
  4. Step 4: Simplify right side
    3,777.67x = 9,631,354.20
  5. Step 5: Solve for x
    x = 9,631,354.20/3,777.67
  6. Step 6: Final answer
    x = 2,549.55

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1.5x scale

Why These Related Problems?

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