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Finding the Fourth Proportional to 5,300.14, 7,945.46 and 2,011

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Solution

The fourth proportional to 5,300.14, 7,945.46 and 2,011 is: 3,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.14 : 7,945.46 = 2,011 : x
  2. Step 2: Convert to fraction form
    5,300.14/7,945.46 = 2,011/x
  3. Step 3: Cross multiply
    5,300.14x = 7,945.46 × 2,011
  4. Step 4: Simplify right side
    5,300.14x = 15,978,320.06
  5. Step 5: Solve for x
    x = 15,978,320.06/5,300.14
  6. Step 6: Final answer
    x = 3,014.70

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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.