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Finding the Fourth Proportional to 5,747.75, 8,627.65 and 5,093.81

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Solution

The fourth proportional to 5,747.75, 8,627.65 and 5,093.81 is: 7,646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.75 : 8,627.65 = 5,093.81 : x
  2. Step 2: Convert to fraction form
    5,747.75/8,627.65 = 5,093.81/x
  3. Step 3: Cross multiply
    5,747.75x = 8,627.65 × 5,093.81
  4. Step 4: Simplify right side
    5,747.75x = 43,947,566.71
  5. Step 5: Solve for x
    x = 43,947,566.71/5,747.75
  6. Step 6: Final answer
    x = 7,646.05

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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.