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Finding the Fourth Proportional to 5,033.56, 7,546.56 and 2,567.20

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Solution

The fourth proportional to 5,033.56, 7,546.56 and 2,567.20 is: 3,848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.56 : 7,546.56 = 2,567.20 : x
  2. Step 2: Convert to fraction form
    5,033.56/7,546.56 = 2,567.20/x
  3. Step 3: Cross multiply
    5,033.56x = 7,546.56 × 2,567.20
  4. Step 4: Simplify right side
    5,033.56x = 19,373,528.83
  5. Step 5: Solve for x
    x = 19,373,528.83/5,033.56
  6. Step 6: Final answer
    x = 3,848.87

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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.