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Finding the Fourth Proportional to 3,462.50, 5,188.47 and 2,538.66

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Solution

The fourth proportional to 3,462.50, 5,188.47 and 2,538.66 is: 3,804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.50 : 5,188.47 = 2,538.66 : x
  2. Step 2: Convert to fraction form
    3,462.50/5,188.47 = 2,538.66/x
  3. Step 3: Cross multiply
    3,462.50x = 5,188.47 × 2,538.66
  4. Step 4: Simplify right side
    3,462.50x = 13,171,761.25
  5. Step 5: Solve for x
    x = 13,171,761.25/3,462.50
  6. Step 6: Final answer
    x = 3,804.12

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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.