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Finding the Fourth Proportional to 6,509.57, 8,983.21 and 3,525.41

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Solution

The fourth proportional to 6,509.57, 8,983.21 and 3,525.41 is: 4,865.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.57 : 8,983.21 = 3,525.41 : x
  2. Step 2: Convert to fraction form
    6,509.57/8,983.21 = 3,525.41/x
  3. Step 3: Cross multiply
    6,509.57x = 8,983.21 × 3,525.41
  4. Step 4: Simplify right side
    6,509.57x = 31,669,453.45
  5. Step 5: Solve for x
    x = 31,669,453.45/6,509.57
  6. Step 6: Final answer
    x = 4,865.06

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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.