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Finding the Fourth Proportional to 6,136.82, 8,458.70 and 4,341.98

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Solution

The fourth proportional to 6,136.82, 8,458.70 and 4,341.98 is: 5,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.82 : 8,458.70 = 4,341.98 : x
  2. Step 2: Convert to fraction form
    6,136.82/8,458.70 = 4,341.98/x
  3. Step 3: Cross multiply
    6,136.82x = 8,458.70 × 4,341.98
  4. Step 4: Simplify right side
    6,136.82x = 36,727,506.23
  5. Step 5: Solve for x
    x = 36,727,506.23/6,136.82
  6. Step 6: Final answer
    x = 5,984.78

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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.