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Finding the Fourth Proportional to 5,296.89, 7,310.34 and 3,617.76

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Solution

The fourth proportional to 5,296.89, 7,310.34 and 3,617.76 is: 4,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.89 : 7,310.34 = 3,617.76 : x
  2. Step 2: Convert to fraction form
    5,296.89/7,310.34 = 3,617.76/x
  3. Step 3: Cross multiply
    5,296.89x = 7,310.34 × 3,617.76
  4. Step 4: Simplify right side
    5,296.89x = 26,447,055.64
  5. Step 5: Solve for x
    x = 26,447,055.64/5,296.89
  6. Step 6: Final answer
    x = 4,992.94

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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.