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Finding the Fourth Proportional to 4,139.96, 6,206.43 and 1,798.19

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Solution

The fourth proportional to 4,139.96, 6,206.43 and 1,798.19 is: 2,695.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.96 : 6,206.43 = 1,798.19 : x
  2. Step 2: Convert to fraction form
    4,139.96/6,206.43 = 1,798.19/x
  3. Step 3: Cross multiply
    4,139.96x = 6,206.43 × 1,798.19
  4. Step 4: Simplify right side
    4,139.96x = 11,160,340.36
  5. Step 5: Solve for x
    x = 11,160,340.36/4,139.96
  6. Step 6: Final answer
    x = 2,695.76

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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.