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Finding the Fourth Proportional to 5,743.60, 7,926.90 and 3,385.96

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Solution

The fourth proportional to 5,743.60, 7,926.90 and 3,385.96 is: 4,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.60 : 7,926.90 = 3,385.96 : x
  2. Step 2: Convert to fraction form
    5,743.60/7,926.90 = 3,385.96/x
  3. Step 3: Cross multiply
    5,743.60x = 7,926.90 × 3,385.96
  4. Step 4: Simplify right side
    5,743.60x = 26,840,166.32
  5. Step 5: Solve for x
    x = 26,840,166.32/5,743.60
  6. Step 6: Final answer
    x = 4,673.06

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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.