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Finding the Fourth Proportional to 4,805.12, 7,204.76 and 1,879.92

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Solution

The fourth proportional to 4,805.12, 7,204.76 and 1,879.92 is: 2,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.12 : 7,204.76 = 1,879.92 : x
  2. Step 2: Convert to fraction form
    4,805.12/7,204.76 = 1,879.92/x
  3. Step 3: Cross multiply
    4,805.12x = 7,204.76 × 1,879.92
  4. Step 4: Simplify right side
    4,805.12x = 13,544,372.42
  5. Step 5: Solve for x
    x = 13,544,372.42/4,805.12
  6. Step 6: Final answer
    x = 2,818.74

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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.