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Finding the Fourth Proportional to 5,235.62, 7,852.89 and 3,281.90

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Solution

The fourth proportional to 5,235.62, 7,852.89 and 3,281.90 is: 4,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.62 : 7,852.89 = 3,281.90 : x
  2. Step 2: Convert to fraction form
    5,235.62/7,852.89 = 3,281.90/x
  3. Step 3: Cross multiply
    5,235.62x = 7,852.89 × 3,281.90
  4. Step 4: Simplify right side
    5,235.62x = 25,772,399.69
  5. Step 5: Solve for x
    x = 25,772,399.69/5,235.62
  6. Step 6: Final answer
    x = 4,922.51

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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.