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Finding the Fourth Proportional to 6,158.40, 8,495.69 and 3,638.82

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Solution

The fourth proportional to 6,158.40, 8,495.69 and 3,638.82 is: 5,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.40 : 8,495.69 = 3,638.82 : x
  2. Step 2: Convert to fraction form
    6,158.40/8,495.69 = 3,638.82/x
  3. Step 3: Cross multiply
    6,158.40x = 8,495.69 × 3,638.82
  4. Step 4: Simplify right side
    6,158.40x = 30,914,300.35
  5. Step 5: Solve for x
    x = 30,914,300.35/6,158.40
  6. Step 6: Final answer
    x = 5,019.86

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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.