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Finding the Fourth Proportional to 4,796.42, 7,195.61 and 2,023.10

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Solution

The fourth proportional to 4,796.42, 7,195.61 and 2,023.10 is: 3,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.42 : 7,195.61 = 2,023.10 : x
  2. Step 2: Convert to fraction form
    4,796.42/7,195.61 = 2,023.10/x
  3. Step 3: Cross multiply
    4,796.42x = 7,195.61 × 2,023.10
  4. Step 4: Simplify right side
    4,796.42x = 14,557,392.50
  5. Step 5: Solve for x
    x = 14,557,392.50/4,796.42
  6. Step 6: Final answer
    x = 3,035.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.