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Finding the Fourth Proportional to 5,896.40, 8,131.05 and 4,106.03

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Solution

The fourth proportional to 5,896.40, 8,131.05 and 4,106.03 is: 5,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.40 : 8,131.05 = 4,106.03 : x
  2. Step 2: Convert to fraction form
    5,896.40/8,131.05 = 4,106.03/x
  3. Step 3: Cross multiply
    5,896.40x = 8,131.05 × 4,106.03
  4. Step 4: Simplify right side
    5,896.40x = 33,386,294.58
  5. Step 5: Solve for x
    x = 33,386,294.58/5,896.40
  6. Step 6: Final answer
    x = 5,662.15

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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.