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Finding the Fourth Proportional to 6,496.02, 8,964 and 3,701.52

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Solution

The fourth proportional to 6,496.02, 8,964 and 3,701.52 is: 5,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.02 : 8,964 = 3,701.52 : x
  2. Step 2: Convert to fraction form
    6,496.02/8,964 = 3,701.52/x
  3. Step 3: Cross multiply
    6,496.02x = 8,964 × 3,701.52
  4. Step 4: Simplify right side
    6,496.02x = 33,180,425.28
  5. Step 5: Solve for x
    x = 33,180,425.28/6,496.02
  6. Step 6: Final answer
    x = 5,107.81

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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.