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Finding the Fourth Proportional to 5,003.28, 6,906 and 3,013.52

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Solution

The fourth proportional to 5,003.28, 6,906 and 3,013.52 is: 4,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.28 : 6,906 = 3,013.52 : x
  2. Step 2: Convert to fraction form
    5,003.28/6,906 = 3,013.52/x
  3. Step 3: Cross multiply
    5,003.28x = 6,906 × 3,013.52
  4. Step 4: Simplify right side
    5,003.28x = 20,811,334.59
  5. Step 5: Solve for x
    x = 20,811,334.59/5,003.28
  6. Step 6: Final answer
    x = 4,159.54

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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.