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Finding the Fourth Proportional to 5,390.70, 8,086.39 and 1,693.08

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Solution

The fourth proportional to 5,390.70, 8,086.39 and 1,693.08 is: 2,539.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.70 : 8,086.39 = 1,693.08 : x
  2. Step 2: Convert to fraction form
    5,390.70/8,086.39 = 1,693.08/x
  3. Step 3: Cross multiply
    5,390.70x = 8,086.39 × 1,693.08
  4. Step 4: Simplify right side
    5,390.70x = 13,690,864.75
  5. Step 5: Solve for x
    x = 13,690,864.75/5,390.70
  6. Step 6: Final answer
    x = 2,539.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.