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Finding the Fourth Proportional to 3,515.28, 5,273.28 and 1,567.32

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Solution

The fourth proportional to 3,515.28, 5,273.28 and 1,567.32 is: 2,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.28 : 5,273.28 = 1,567.32 : x
  2. Step 2: Convert to fraction form
    3,515.28/5,273.28 = 1,567.32/x
  3. Step 3: Cross multiply
    3,515.28x = 5,273.28 × 1,567.32
  4. Step 4: Simplify right side
    3,515.28x = 8,264,917.21
  5. Step 5: Solve for x
    x = 8,264,917.21/3,515.28
  6. Step 6: Final answer
    x = 2,351.14

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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.