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Finding the Fourth Proportional to 5,538, 8,308.62 and 1,642.50

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Solution

The fourth proportional to 5,538, 8,308.62 and 1,642.50 is: 2,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538 : 8,308.62 = 1,642.50 : x
  2. Step 2: Convert to fraction form
    5,538/8,308.62 = 1,642.50/x
  3. Step 3: Cross multiply
    5,538x = 8,308.62 × 1,642.50
  4. Step 4: Simplify right side
    5,538x = 13,646,908.35
  5. Step 5: Solve for x
    x = 13,646,908.35/5,538
  6. Step 6: Final answer
    x = 2,464.23

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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.