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Finding the Fourth Proportional to 4,173.77, 5,757.50 and 2,658.50

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Solution

The fourth proportional to 4,173.77, 5,757.50 and 2,658.50 is: 3,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173.77 : 5,757.50 = 2,658.50 : x
  2. Step 2: Convert to fraction form
    4,173.77/5,757.50 = 2,658.50/x
  3. Step 3: Cross multiply
    4,173.77x = 5,757.50 × 2,658.50
  4. Step 4: Simplify right side
    4,173.77x = 15,306,334.79
  5. Step 5: Solve for x
    x = 15,306,334.79/4,173.77
  6. Step 6: Final answer
    x = 3,667.27

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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.