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Finding the Fourth Proportional to 4,769.76, 6,582.12 and 2,780.40

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Solution

The fourth proportional to 4,769.76, 6,582.12 and 2,780.40 is: 3,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.76 : 6,582.12 = 2,780.40 : x
  2. Step 2: Convert to fraction form
    4,769.76/6,582.12 = 2,780.40/x
  3. Step 3: Cross multiply
    4,769.76x = 6,582.12 × 2,780.40
  4. Step 4: Simplify right side
    4,769.76x = 18,300,926.45
  5. Step 5: Solve for x
    x = 18,300,926.45/4,769.76
  6. Step 6: Final answer
    x = 3,836.87

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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.