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Finding the Fourth Proportional to 5,296.56, 7,300.76 and 4,175.64

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Solution

The fourth proportional to 5,296.56, 7,300.76 and 4,175.64 is: 5,755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.56 : 7,300.76 = 4,175.64 : x
  2. Step 2: Convert to fraction form
    5,296.56/7,300.76 = 4,175.64/x
  3. Step 3: Cross multiply
    5,296.56x = 7,300.76 × 4,175.64
  4. Step 4: Simplify right side
    5,296.56x = 30,485,345.49
  5. Step 5: Solve for x
    x = 30,485,345.49/5,296.56
  6. Step 6: Final answer
    x = 5,755.69

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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.