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Finding the Fourth Proportional to 5,194.16, 7,167.65 and 2,835.84

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Solution

The fourth proportional to 5,194.16, 7,167.65 and 2,835.84 is: 3,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.16 : 7,167.65 = 2,835.84 : x
  2. Step 2: Convert to fraction form
    5,194.16/7,167.65 = 2,835.84/x
  3. Step 3: Cross multiply
    5,194.16x = 7,167.65 × 2,835.84
  4. Step 4: Simplify right side
    5,194.16x = 20,326,294.40
  5. Step 5: Solve for x
    x = 20,326,294.40/5,194.16
  6. Step 6: Final answer
    x = 3,913.30

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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.