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Finding the Fourth Proportional to 3,830.99, 5,751.35 and 3,257.51

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Solution

The fourth proportional to 3,830.99, 5,751.35 and 3,257.51 is: 4,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.99 : 5,751.35 = 3,257.51 : x
  2. Step 2: Convert to fraction form
    3,830.99/5,751.35 = 3,257.51/x
  3. Step 3: Cross multiply
    3,830.99x = 5,751.35 × 3,257.51
  4. Step 4: Simplify right side
    3,830.99x = 18,735,080.14
  5. Step 5: Solve for x
    x = 18,735,080.14/3,830.99
  6. Step 6: Final answer
    x = 4,890.40

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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.