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Finding the Fourth Proportional to 4,173.72, 5,760 and 2,405.64

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Solution

The fourth proportional to 4,173.72, 5,760 and 2,405.64 is: 3,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173.72 : 5,760 = 2,405.64 : x
  2. Step 2: Convert to fraction form
    4,173.72/5,760 = 2,405.64/x
  3. Step 3: Cross multiply
    4,173.72x = 5,760 × 2,405.64
  4. Step 4: Simplify right side
    4,173.72x = 13,856,486.40
  5. Step 5: Solve for x
    x = 13,856,486.40/4,173.72
  6. Step 6: Final answer
    x = 3,319.94

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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.