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Finding the Fourth Proportional to 5,727.12, 7,903.02 and 3,208.80

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Solution

The fourth proportional to 5,727.12, 7,903.02 and 3,208.80 is: 4,427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.12 : 7,903.02 = 3,208.80 : x
  2. Step 2: Convert to fraction form
    5,727.12/7,903.02 = 3,208.80/x
  3. Step 3: Cross multiply
    5,727.12x = 7,903.02 × 3,208.80
  4. Step 4: Simplify right side
    5,727.12x = 25,359,210.58
  5. Step 5: Solve for x
    x = 25,359,210.58/5,727.12
  6. Step 6: Final answer
    x = 4,427.92

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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.