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Finding the Fourth Proportional to 5,296.45, 7,305.78 and 3,410.47

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Solution

The fourth proportional to 5,296.45, 7,305.78 and 3,410.47 is: 4,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.45 : 7,305.78 = 3,410.47 : x
  2. Step 2: Convert to fraction form
    5,296.45/7,305.78 = 3,410.47/x
  3. Step 3: Cross multiply
    5,296.45x = 7,305.78 × 3,410.47
  4. Step 4: Simplify right side
    5,296.45x = 24,916,143.52
  5. Step 5: Solve for x
    x = 24,916,143.52/5,296.45
  6. Step 6: Final answer
    x = 4,704.31

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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.