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Finding the Fourth Proportional to 5,172.09, 7,758.12 and 1,883.84

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Solution

The fourth proportional to 5,172.09, 7,758.12 and 1,883.84 is: 2,825.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.09 : 7,758.12 = 1,883.84 : x
  2. Step 2: Convert to fraction form
    5,172.09/7,758.12 = 1,883.84/x
  3. Step 3: Cross multiply
    5,172.09x = 7,758.12 × 1,883.84
  4. Step 4: Simplify right side
    5,172.09x = 14,615,017.99
  5. Step 5: Solve for x
    x = 14,615,017.99/5,172.09
  6. Step 6: Final answer
    x = 2,825.75

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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.