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Finding the Fourth Proportional to 4,728.96, 7,094.52 and 1,442.04

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Solution

The fourth proportional to 4,728.96, 7,094.52 and 1,442.04 is: 2,163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.96 : 7,094.52 = 1,442.04 : x
  2. Step 2: Convert to fraction form
    4,728.96/7,094.52 = 1,442.04/x
  3. Step 3: Cross multiply
    4,728.96x = 7,094.52 × 1,442.04
  4. Step 4: Simplify right side
    4,728.96x = 10,230,581.62
  5. Step 5: Solve for x
    x = 10,230,581.62/4,728.96
  6. Step 6: Final answer
    x = 2,163.39

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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.