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Finding the Fourth Proportional to 5,689.08, 7,852.14 and 3,825

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Solution

The fourth proportional to 5,689.08, 7,852.14 and 3,825 is: 5,279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.08 : 7,852.14 = 3,825 : x
  2. Step 2: Convert to fraction form
    5,689.08/7,852.14 = 3,825/x
  3. Step 3: Cross multiply
    5,689.08x = 7,852.14 × 3,825
  4. Step 4: Simplify right side
    5,689.08x = 30,034,435.50
  5. Step 5: Solve for x
    x = 30,034,435.50/5,689.08
  6. Step 6: Final answer
    x = 5,279.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.