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Finding the Fourth Proportional to 3,693.94, 5,538.17 and 2,232.77

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Solution

The fourth proportional to 3,693.94, 5,538.17 and 2,232.77 is: 3,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.94 : 5,538.17 = 2,232.77 : x
  2. Step 2: Convert to fraction form
    3,693.94/5,538.17 = 2,232.77/x
  3. Step 3: Cross multiply
    3,693.94x = 5,538.17 × 2,232.77
  4. Step 4: Simplify right side
    3,693.94x = 12,365,437.72
  5. Step 5: Solve for x
    x = 12,365,437.72/3,693.94
  6. Step 6: Final answer
    x = 3,347.50

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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.