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Finding the Fourth Proportional to 5,167.59, 7,137.12 and 3,486.09

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Solution

The fourth proportional to 5,167.59, 7,137.12 and 3,486.09 is: 4,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.59 : 7,137.12 = 3,486.09 : x
  2. Step 2: Convert to fraction form
    5,167.59/7,137.12 = 3,486.09/x
  3. Step 3: Cross multiply
    5,167.59x = 7,137.12 × 3,486.09
  4. Step 4: Simplify right side
    5,167.59x = 24,880,642.66
  5. Step 5: Solve for x
    x = 24,880,642.66/5,167.59
  6. Step 6: Final answer
    x = 4,814.75

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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.