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Finding the Fourth Proportional to 5,691, 8,533.53 and 2,568.33

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Solution

The fourth proportional to 5,691, 8,533.53 and 2,568.33 is: 3,851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691 : 8,533.53 = 2,568.33 : x
  2. Step 2: Convert to fraction form
    5,691/8,533.53 = 2,568.33/x
  3. Step 3: Cross multiply
    5,691x = 8,533.53 × 2,568.33
  4. Step 4: Simplify right side
    5,691x = 21,916,921.10
  5. Step 5: Solve for x
    x = 21,916,921.10/5,691
  6. Step 6: Final answer
    x = 3,851.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.