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Finding the Fourth Proportional to 4,697.68, 7,046.36 and 2,233.68

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Solution

The fourth proportional to 4,697.68, 7,046.36 and 2,233.68 is: 3,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.68 : 7,046.36 = 2,233.68 : x
  2. Step 2: Convert to fraction form
    4,697.68/7,046.36 = 2,233.68/x
  3. Step 3: Cross multiply
    4,697.68x = 7,046.36 × 2,233.68
  4. Step 4: Simplify right side
    4,697.68x = 15,739,313.40
  5. Step 5: Solve for x
    x = 15,739,313.40/4,697.68
  6. Step 6: Final answer
    x = 3,350.44

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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.