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Finding the Fourth Proportional to 3,228.06, 4,842 and 1,747.98

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Solution

The fourth proportional to 3,228.06, 4,842 and 1,747.98 is: 2,621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.06 : 4,842 = 1,747.98 : x
  2. Step 2: Convert to fraction form
    3,228.06/4,842 = 1,747.98/x
  3. Step 3: Cross multiply
    3,228.06x = 4,842 × 1,747.98
  4. Step 4: Simplify right side
    3,228.06x = 8,463,719.16
  5. Step 5: Solve for x
    x = 8,463,719.16/3,228.06
  6. Step 6: Final answer
    x = 2,621.92

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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.