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Finding the Fourth Proportional to 4,796.92, 7,196.02 and 2,023.16

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Solution

The fourth proportional to 4,796.92, 7,196.02 and 2,023.16 is: 3,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.92 : 7,196.02 = 2,023.16 : x
  2. Step 2: Convert to fraction form
    4,796.92/7,196.02 = 2,023.16/x
  3. Step 3: Cross multiply
    4,796.92x = 7,196.02 × 2,023.16
  4. Step 4: Simplify right side
    4,796.92x = 14,558,699.82
  5. Step 5: Solve for x
    x = 14,558,699.82/4,796.92
  6. Step 6: Final answer
    x = 3,035.01

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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.