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Finding the Fourth Proportional to 5,937.53, 8,188.37 and 5,097.97

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Solution

The fourth proportional to 5,937.53, 8,188.37 and 5,097.97 is: 7,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.53 : 8,188.37 = 5,097.97 : x
  2. Step 2: Convert to fraction form
    5,937.53/8,188.37 = 5,097.97/x
  3. Step 3: Cross multiply
    5,937.53x = 8,188.37 × 5,097.97
  4. Step 4: Simplify right side
    5,937.53x = 41,744,023.67
  5. Step 5: Solve for x
    x = 41,744,023.67/5,937.53
  6. Step 6: Final answer
    x = 7,030.54

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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.