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Finding the Fourth Proportional to 5,611.82, 7,739.77 and 4,938.17

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Solution

The fourth proportional to 5,611.82, 7,739.77 and 4,938.17 is: 6,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.82 : 7,739.77 = 4,938.17 : x
  2. Step 2: Convert to fraction form
    5,611.82/7,739.77 = 4,938.17/x
  3. Step 3: Cross multiply
    5,611.82x = 7,739.77 × 4,938.17
  4. Step 4: Simplify right side
    5,611.82x = 38,220,275.33
  5. Step 5: Solve for x
    x = 38,220,275.33/5,611.82
  6. Step 6: Final answer
    x = 6,810.67

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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.