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Finding the Fourth Proportional to 5,390.76, 8,086.14 and 1,693.26

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Solution

The fourth proportional to 5,390.76, 8,086.14 and 1,693.26 is: 2,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.76 : 8,086.14 = 1,693.26 : x
  2. Step 2: Convert to fraction form
    5,390.76/8,086.14 = 1,693.26/x
  3. Step 3: Cross multiply
    5,390.76x = 8,086.14 × 1,693.26
  4. Step 4: Simplify right side
    5,390.76x = 13,691,937.42
  5. Step 5: Solve for x
    x = 13,691,937.42/5,390.76
  6. Step 6: Final answer
    x = 2,539.89

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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.