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Finding the Fourth Proportional to 5,190.57, 7,779.78 and 1,901.16

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Solution

The fourth proportional to 5,190.57, 7,779.78 and 1,901.16 is: 2,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.57 : 7,779.78 = 1,901.16 : x
  2. Step 2: Convert to fraction form
    5,190.57/7,779.78 = 1,901.16/x
  3. Step 3: Cross multiply
    5,190.57x = 7,779.78 × 1,901.16
  4. Step 4: Simplify right side
    5,190.57x = 14,790,606.54
  5. Step 5: Solve for x
    x = 14,790,606.54/5,190.57
  6. Step 6: Final answer
    x = 2,849.51

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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.