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Finding the Fourth Proportional to 5,289.66, 7,296.63 and 3,273.86

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Solution

The fourth proportional to 5,289.66, 7,296.63 and 3,273.86 is: 4,516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.66 : 7,296.63 = 3,273.86 : x
  2. Step 2: Convert to fraction form
    5,289.66/7,296.63 = 3,273.86/x
  3. Step 3: Cross multiply
    5,289.66x = 7,296.63 × 3,273.86
  4. Step 4: Simplify right side
    5,289.66x = 23,888,108.61
  5. Step 5: Solve for x
    x = 23,888,108.61/5,289.66
  6. Step 6: Final answer
    x = 4,516.00

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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.