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Finding the Fourth Proportional to 5,284.28, 7,926.60 and 2,509.52

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Solution

The fourth proportional to 5,284.28, 7,926.60 and 2,509.52 is: 3,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.28 : 7,926.60 = 2,509.52 : x
  2. Step 2: Convert to fraction form
    5,284.28/7,926.60 = 2,509.52/x
  3. Step 3: Cross multiply
    5,284.28x = 7,926.60 × 2,509.52
  4. Step 4: Simplify right side
    5,284.28x = 19,891,961.23
  5. Step 5: Solve for x
    x = 19,891,961.23/5,284.28
  6. Step 6: Final answer
    x = 3,764.37

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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.