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Finding the Fourth Proportional to 5,194.53, 7,167.50 and 3,070.41

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Solution

The fourth proportional to 5,194.53, 7,167.50 and 3,070.41 is: 4,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.53 : 7,167.50 = 3,070.41 : x
  2. Step 2: Convert to fraction form
    5,194.53/7,167.50 = 3,070.41/x
  3. Step 3: Cross multiply
    5,194.53x = 7,167.50 × 3,070.41
  4. Step 4: Simplify right side
    5,194.53x = 22,007,141.59
  5. Step 5: Solve for x
    x = 22,007,141.59/5,194.53
  6. Step 6: Final answer
    x = 4,236.60

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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.