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Finding the Fourth Proportional to 3,512.33, 5,268.43 and 1,047.16

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Solution

The fourth proportional to 3,512.33, 5,268.43 and 1,047.16 is: 1,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.33 : 5,268.43 = 1,047.16 : x
  2. Step 2: Convert to fraction form
    3,512.33/5,268.43 = 1,047.16/x
  3. Step 3: Cross multiply
    3,512.33x = 5,268.43 × 1,047.16
  4. Step 4: Simplify right side
    3,512.33x = 5,516,889.16
  5. Step 5: Solve for x
    x = 5,516,889.16/3,512.33
  6. Step 6: Final answer
    x = 1,570.72

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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.