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Finding the Fourth Proportional to 4,798.67, 7,198.04 and 2,023.58

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Solution

The fourth proportional to 4,798.67, 7,198.04 and 2,023.58 is: 3,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.67 : 7,198.04 = 2,023.58 : x
  2. Step 2: Convert to fraction form
    4,798.67/7,198.04 = 2,023.58/x
  3. Step 3: Cross multiply
    4,798.67x = 7,198.04 × 2,023.58
  4. Step 4: Simplify right side
    4,798.67x = 14,565,832.84
  5. Step 5: Solve for x
    x = 14,565,832.84/4,798.67
  6. Step 6: Final answer
    x = 3,035.39

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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.