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Finding the Fourth Proportional to 4,744.56, 7,115.98 and 2,146.88

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Solution

The fourth proportional to 4,744.56, 7,115.98 and 2,146.88 is: 3,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.56 : 7,115.98 = 2,146.88 : x
  2. Step 2: Convert to fraction form
    4,744.56/7,115.98 = 2,146.88/x
  3. Step 3: Cross multiply
    4,744.56x = 7,115.98 × 2,146.88
  4. Step 4: Simplify right side
    4,744.56x = 15,277,155.14
  5. Step 5: Solve for x
    x = 15,277,155.14/4,744.56
  6. Step 6: Final answer
    x = 3,219.93

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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.