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Finding the Fourth Proportional to 3,826.45, 5,731.88 and 3,507.51

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Solution

The fourth proportional to 3,826.45, 5,731.88 and 3,507.51 is: 5,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.45 : 5,731.88 = 3,507.51 : x
  2. Step 2: Convert to fraction form
    3,826.45/5,731.88 = 3,507.51/x
  3. Step 3: Cross multiply
    3,826.45x = 5,731.88 × 3,507.51
  4. Step 4: Simplify right side
    3,826.45x = 20,104,608.00
  5. Step 5: Solve for x
    x = 20,104,608.00/3,826.45
  6. Step 6: Final answer
    x = 5,254.12

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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.