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Finding the Fourth Proportional to 5,288.55, 7,289.73 and 4,167.63

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Solution

The fourth proportional to 5,288.55, 7,289.73 and 4,167.63 is: 5,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.55 : 7,289.73 = 4,167.63 : x
  2. Step 2: Convert to fraction form
    5,288.55/7,289.73 = 4,167.63/x
  3. Step 3: Cross multiply
    5,288.55x = 7,289.73 × 4,167.63
  4. Step 4: Simplify right side
    5,288.55x = 30,380,897.44
  5. Step 5: Solve for x
    x = 30,380,897.44/5,288.55
  6. Step 6: Final answer
    x = 5,744.66

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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.