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Finding the Fourth Proportional to 3,889.85, 5,835.65 and 1,116.41

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Solution

The fourth proportional to 3,889.85, 5,835.65 and 1,116.41 is: 1,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.85 : 5,835.65 = 1,116.41 : x
  2. Step 2: Convert to fraction form
    3,889.85/5,835.65 = 1,116.41/x
  3. Step 3: Cross multiply
    3,889.85x = 5,835.65 × 1,116.41
  4. Step 4: Simplify right side
    3,889.85x = 6,514,943.26
  5. Step 5: Solve for x
    x = 6,514,943.26/3,889.85
  6. Step 6: Final answer
    x = 1,674.86

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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.