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Finding the Fourth Proportional to 3,780.77, 5,216.07 and 2,288.14

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Solution

The fourth proportional to 3,780.77, 5,216.07 and 2,288.14 is: 3,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.77 : 5,216.07 = 2,288.14 : x
  2. Step 2: Convert to fraction form
    3,780.77/5,216.07 = 2,288.14/x
  3. Step 3: Cross multiply
    3,780.77x = 5,216.07 × 2,288.14
  4. Step 4: Simplify right side
    3,780.77x = 11,935,085.37
  5. Step 5: Solve for x
    x = 11,935,085.37/3,780.77
  6. Step 6: Final answer
    x = 3,156.79

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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.