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Finding the Fourth Proportional to 3,185.28, 4,777.28 and 1,885.76

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Solution

The fourth proportional to 3,185.28, 4,777.28 and 1,885.76 is: 2,828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.28 : 4,777.28 = 1,885.76 : x
  2. Step 2: Convert to fraction form
    3,185.28/4,777.28 = 1,885.76/x
  3. Step 3: Cross multiply
    3,185.28x = 4,777.28 × 1,885.76
  4. Step 4: Simplify right side
    3,185.28x = 9,008,803.53
  5. Step 5: Solve for x
    x = 9,008,803.53/3,185.28
  6. Step 6: Final answer
    x = 2,828.26

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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.