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Finding the Fourth Proportional to 5,638.35, 8,458.34 and 1,743.06

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Solution

The fourth proportional to 5,638.35, 8,458.34 and 1,743.06 is: 2,614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.35 : 8,458.34 = 1,743.06 : x
  2. Step 2: Convert to fraction form
    5,638.35/8,458.34 = 1,743.06/x
  3. Step 3: Cross multiply
    5,638.35x = 8,458.34 × 1,743.06
  4. Step 4: Simplify right side
    5,638.35x = 14,743,394.12
  5. Step 5: Solve for x
    x = 14,743,394.12/5,638.35
  6. Step 6: Final answer
    x = 2,614.84

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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.