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Finding the Fourth Proportional to 5,173.94, 7,757.57 and 2,214.32

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Solution

The fourth proportional to 5,173.94, 7,757.57 and 2,214.32 is: 3,320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.94 : 7,757.57 = 2,214.32 : x
  2. Step 2: Convert to fraction form
    5,173.94/7,757.57 = 2,214.32/x
  3. Step 3: Cross multiply
    5,173.94x = 7,757.57 × 2,214.32
  4. Step 4: Simplify right side
    5,173.94x = 17,177,703.61
  5. Step 5: Solve for x
    x = 17,177,703.61/5,173.94
  6. Step 6: Final answer
    x = 3,320.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.