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Finding the Fourth Proportional to 3,613.85, 5,420.75 and 1,859.34

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Solution

The fourth proportional to 3,613.85, 5,420.75 and 1,859.34 is: 2,789.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.85 : 5,420.75 = 1,859.34 : x
  2. Step 2: Convert to fraction form
    3,613.85/5,420.75 = 1,859.34/x
  3. Step 3: Cross multiply
    3,613.85x = 5,420.75 × 1,859.34
  4. Step 4: Simplify right side
    3,613.85x = 10,079,028.34
  5. Step 5: Solve for x
    x = 10,079,028.34/3,613.85
  6. Step 6: Final answer
    x = 2,789.00

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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.