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Finding the Fourth Proportional to 5,786.82, 8,681.76 and 3,322.50

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Solution

The fourth proportional to 5,786.82, 8,681.76 and 3,322.50 is: 4,984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.82 : 8,681.76 = 3,322.50 : x
  2. Step 2: Convert to fraction form
    5,786.82/8,681.76 = 3,322.50/x
  3. Step 3: Cross multiply
    5,786.82x = 8,681.76 × 3,322.50
  4. Step 4: Simplify right side
    5,786.82x = 28,845,147.60
  5. Step 5: Solve for x
    x = 28,845,147.60/5,786.82
  6. Step 6: Final answer
    x = 4,984.63

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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.