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Finding the Fourth Proportional to 4,562.38, 6,844 and 2,097.89

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Solution

The fourth proportional to 4,562.38, 6,844 and 2,097.89 is: 3,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.38 : 6,844 = 2,097.89 : x
  2. Step 2: Convert to fraction form
    4,562.38/6,844 = 2,097.89/x
  3. Step 3: Cross multiply
    4,562.38x = 6,844 × 2,097.89
  4. Step 4: Simplify right side
    4,562.38x = 14,357,924.94
  5. Step 5: Solve for x
    x = 14,357,924.94/4,562.38
  6. Step 6: Final answer
    x = 3,147.03

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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.