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Finding the Fourth Proportional to 5,926.39, 8,178.48 and 4,136.47

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Solution

The fourth proportional to 5,926.39, 8,178.48 and 4,136.47 is: 5,708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.39 : 8,178.48 = 4,136.47 : x
  2. Step 2: Convert to fraction form
    5,926.39/8,178.48 = 4,136.47/x
  3. Step 3: Cross multiply
    5,926.39x = 8,178.48 × 4,136.47
  4. Step 4: Simplify right side
    5,926.39x = 33,830,037.17
  5. Step 5: Solve for x
    x = 33,830,037.17/5,926.39
  6. Step 6: Final answer
    x = 5,708.37

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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.