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Finding the Fourth Proportional to 3,857.09, 5,780.57 and 1,776.74

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Solution

The fourth proportional to 3,857.09, 5,780.57 and 1,776.74 is: 2,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.09 : 5,780.57 = 1,776.74 : x
  2. Step 2: Convert to fraction form
    3,857.09/5,780.57 = 1,776.74/x
  3. Step 3: Cross multiply
    3,857.09x = 5,780.57 × 1,776.74
  4. Step 4: Simplify right side
    3,857.09x = 10,270,532.16
  5. Step 5: Solve for x
    x = 10,270,532.16/3,857.09
  6. Step 6: Final answer
    x = 2,662.77

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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.