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Finding the Fourth Proportional to 4,902.14, 7,353.41 and 2,303.25

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Solution

The fourth proportional to 4,902.14, 7,353.41 and 2,303.25 is: 3,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.14 : 7,353.41 = 2,303.25 : x
  2. Step 2: Convert to fraction form
    4,902.14/7,353.41 = 2,303.25/x
  3. Step 3: Cross multiply
    4,902.14x = 7,353.41 × 2,303.25
  4. Step 4: Simplify right side
    4,902.14x = 16,936,730.07
  5. Step 5: Solve for x
    x = 16,936,730.07/4,902.14
  6. Step 6: Final answer
    x = 3,454.97

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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.