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Finding the Fourth Proportional to 3,883.68, 5,825.28 and 1,575.12

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Solution

The fourth proportional to 3,883.68, 5,825.28 and 1,575.12 is: 2,362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.68 : 5,825.28 = 1,575.12 : x
  2. Step 2: Convert to fraction form
    3,883.68/5,825.28 = 1,575.12/x
  3. Step 3: Cross multiply
    3,883.68x = 5,825.28 × 1,575.12
  4. Step 4: Simplify right side
    3,883.68x = 9,175,515.03
  5. Step 5: Solve for x
    x = 9,175,515.03/3,883.68
  6. Step 6: Final answer
    x = 2,362.58

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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.