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Finding the Fourth Proportional to 3,780.07, 5,216.81 and 2,645.87

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Solution

The fourth proportional to 3,780.07, 5,216.81 and 2,645.87 is: 3,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.07 : 5,216.81 = 2,645.87 : x
  2. Step 2: Convert to fraction form
    3,780.07/5,216.81 = 2,645.87/x
  3. Step 3: Cross multiply
    3,780.07x = 5,216.81 × 2,645.87
  4. Step 4: Simplify right side
    3,780.07x = 13,802,961.76
  5. Step 5: Solve for x
    x = 13,802,961.76/3,780.07
  6. Step 6: Final answer
    x = 3,651.51

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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.