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Finding the Fourth Proportional to 5,020.64, 7,529.90 and 3,169.28

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Solution

The fourth proportional to 5,020.64, 7,529.90 and 3,169.28 is: 4,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,020.64 : 7,529.90 = 3,169.28 : x
  2. Step 2: Convert to fraction form
    5,020.64/7,529.90 = 3,169.28/x
  3. Step 3: Cross multiply
    5,020.64x = 7,529.90 × 3,169.28
  4. Step 4: Simplify right side
    5,020.64x = 23,864,364.45
  5. Step 5: Solve for x
    x = 23,864,364.45/5,020.64
  6. Step 6: Final answer
    x = 4,753.25

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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.