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Finding the Fourth Proportional to 5,805.38, 8,707.97 and 2,106.20

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Solution

The fourth proportional to 5,805.38, 8,707.97 and 2,106.20 is: 3,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.38 : 8,707.97 = 2,106.20 : x
  2. Step 2: Convert to fraction form
    5,805.38/8,707.97 = 2,106.20/x
  3. Step 3: Cross multiply
    5,805.38x = 8,707.97 × 2,106.20
  4. Step 4: Simplify right side
    5,805.38x = 18,340,672.34
  5. Step 5: Solve for x
    x = 18,340,672.34/5,805.38
  6. Step 6: Final answer
    x = 3,159.26

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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.