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Finding the Fourth Proportional to 5,689.92, 7,852.04 and 3,205.92

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Solution

The fourth proportional to 5,689.92, 7,852.04 and 3,205.92 is: 4,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.92 : 7,852.04 = 3,205.92 : x
  2. Step 2: Convert to fraction form
    5,689.92/7,852.04 = 3,205.92/x
  3. Step 3: Cross multiply
    5,689.92x = 7,852.04 × 3,205.92
  4. Step 4: Simplify right side
    5,689.92x = 25,173,012.08
  5. Step 5: Solve for x
    x = 25,173,012.08/5,689.92
  6. Step 6: Final answer
    x = 4,424.14

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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.