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Finding the Fourth Proportional to 3,595.25, 5,392.88 and 998.19

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Solution

The fourth proportional to 3,595.25, 5,392.88 and 998.19 is: 1,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.25 : 5,392.88 = 998.19 : x
  2. Step 2: Convert to fraction form
    3,595.25/5,392.88 = 998.19/x
  3. Step 3: Cross multiply
    3,595.25x = 5,392.88 × 998.19
  4. Step 4: Simplify right side
    3,595.25x = 5,383,113.90
  5. Step 5: Solve for x
    x = 5,383,113.90/3,595.25
  6. Step 6: Final answer
    x = 1,497.29

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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.