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Finding the Fourth Proportional to 5,173.17, 7,759.70 and 1,884.87

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Solution

The fourth proportional to 5,173.17, 7,759.70 and 1,884.87 is: 2,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.17 : 7,759.70 = 1,884.87 : x
  2. Step 2: Convert to fraction form
    5,173.17/7,759.70 = 1,884.87/x
  3. Step 3: Cross multiply
    5,173.17x = 7,759.70 × 1,884.87
  4. Step 4: Simplify right side
    5,173.17x = 14,626,023.38
  5. Step 5: Solve for x
    x = 14,626,023.38/5,173.17
  6. Step 6: Final answer
    x = 2,827.29

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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.