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Finding the Fourth Proportional to 4,769.12, 6,582 and 2,780.80

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Solution

The fourth proportional to 4,769.12, 6,582 and 2,780.80 is: 3,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.12 : 6,582 = 2,780.80 : x
  2. Step 2: Convert to fraction form
    4,769.12/6,582 = 2,780.80/x
  3. Step 3: Cross multiply
    4,769.12x = 6,582 × 2,780.80
  4. Step 4: Simplify right side
    4,769.12x = 18,303,225.60
  5. Step 5: Solve for x
    x = 18,303,225.60/4,769.12
  6. Step 6: Final answer
    x = 3,837.86

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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.