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Finding the Fourth Proportional to 4,769.12, 6,578.37 and 3,444.77

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Solution

The fourth proportional to 4,769.12, 6,578.37 and 3,444.77 is: 4,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.12 : 6,578.37 = 3,444.77 : x
  2. Step 2: Convert to fraction form
    4,769.12/6,578.37 = 3,444.77/x
  3. Step 3: Cross multiply
    4,769.12x = 6,578.37 × 3,444.77
  4. Step 4: Simplify right side
    4,769.12x = 22,660,938.73
  5. Step 5: Solve for x
    x = 22,660,938.73/4,769.12
  6. Step 6: Final answer
    x = 4,751.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.