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Finding the Fourth Proportional to 3,780.65, 5,216.10 and 2,288.09

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Solution

The fourth proportional to 3,780.65, 5,216.10 and 2,288.09 is: 3,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.65 : 5,216.10 = 2,288.09 : x
  2. Step 2: Convert to fraction form
    3,780.65/5,216.10 = 2,288.09/x
  3. Step 3: Cross multiply
    3,780.65x = 5,216.10 × 2,288.09
  4. Step 4: Simplify right side
    3,780.65x = 11,934,910.71
  5. Step 5: Solve for x
    x = 11,934,910.71/3,780.65
  6. Step 6: Final answer
    x = 3,156.84

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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.