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Finding the Fourth Proportional to 5,561.32, 7,633.76 and 4,917.76

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Solution

The fourth proportional to 5,561.32, 7,633.76 and 4,917.76 is: 6,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.32 : 7,633.76 = 4,917.76 : x
  2. Step 2: Convert to fraction form
    5,561.32/7,633.76 = 4,917.76/x
  3. Step 3: Cross multiply
    5,561.32x = 7,633.76 × 4,917.76
  4. Step 4: Simplify right side
    5,561.32x = 37,540,999.58
  5. Step 5: Solve for x
    x = 37,540,999.58/5,561.32
  6. Step 6: Final answer
    x = 6,750.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.