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Finding the Fourth Proportional to 5,172.52, 7,759.29 and 1,884.84

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Solution

The fourth proportional to 5,172.52, 7,759.29 and 1,884.84 is: 2,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.52 : 7,759.29 = 1,884.84 : x
  2. Step 2: Convert to fraction form
    5,172.52/7,759.29 = 1,884.84/x
  3. Step 3: Cross multiply
    5,172.52x = 7,759.29 × 1,884.84
  4. Step 4: Simplify right side
    5,172.52x = 14,625,063.60
  5. Step 5: Solve for x
    x = 14,625,063.60/5,172.52
  6. Step 6: Final answer
    x = 2,827.45

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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.