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Finding the Fourth Proportional to 4,728.90, 7,094.10 and 1,441.24

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Solution

The fourth proportional to 4,728.90, 7,094.10 and 1,441.24 is: 2,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.90 : 7,094.10 = 1,441.24 : x
  2. Step 2: Convert to fraction form
    4,728.90/7,094.10 = 1,441.24/x
  3. Step 3: Cross multiply
    4,728.90x = 7,094.10 × 1,441.24
  4. Step 4: Simplify right side
    4,728.90x = 10,224,300.68
  5. Step 5: Solve for x
    x = 10,224,300.68/4,728.90
  6. Step 6: Final answer
    x = 2,162.09

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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.