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Finding the Fourth Proportional to 5,538.50, 7,643.37 and 3,054.50

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Solution

The fourth proportional to 5,538.50, 7,643.37 and 3,054.50 is: 4,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.50 : 7,643.37 = 3,054.50 : x
  2. Step 2: Convert to fraction form
    5,538.50/7,643.37 = 3,054.50/x
  3. Step 3: Cross multiply
    5,538.50x = 7,643.37 × 3,054.50
  4. Step 4: Simplify right side
    5,538.50x = 23,346,673.67
  5. Step 5: Solve for x
    x = 23,346,673.67/5,538.50
  6. Step 6: Final answer
    x = 4,215.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.