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Finding the Fourth Proportional to 4,100.16, 6,139.36 and 2,804.16

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Solution

The fourth proportional to 4,100.16, 6,139.36 and 2,804.16 is: 4,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.16 : 6,139.36 = 2,804.16 : x
  2. Step 2: Convert to fraction form
    4,100.16/6,139.36 = 2,804.16/x
  3. Step 3: Cross multiply
    4,100.16x = 6,139.36 × 2,804.16
  4. Step 4: Simplify right side
    4,100.16x = 17,215,747.74
  5. Step 5: Solve for x
    x = 17,215,747.74/4,100.16
  6. Step 6: Final answer
    x = 4,198.80

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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.