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Finding the Fourth Proportional to 3,779.94, 5,216.43 and 2,288.13

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Solution

The fourth proportional to 3,779.94, 5,216.43 and 2,288.13 is: 3,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.94 : 5,216.43 = 2,288.13 : x
  2. Step 2: Convert to fraction form
    3,779.94/5,216.43 = 2,288.13/x
  3. Step 3: Cross multiply
    3,779.94x = 5,216.43 × 2,288.13
  4. Step 4: Simplify right side
    3,779.94x = 11,935,869.98
  5. Step 5: Solve for x
    x = 11,935,869.98/3,779.94
  6. Step 6: Final answer
    x = 3,157.69

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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.