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Finding the Fourth Proportional to 5,684.53, 8,526.79 and 2,760.33

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Solution

The fourth proportional to 5,684.53, 8,526.79 and 2,760.33 is: 4,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.53 : 8,526.79 = 2,760.33 : x
  2. Step 2: Convert to fraction form
    5,684.53/8,526.79 = 2,760.33/x
  3. Step 3: Cross multiply
    5,684.53x = 8,526.79 × 2,760.33
  4. Step 4: Simplify right side
    5,684.53x = 23,536,749.47
  5. Step 5: Solve for x
    x = 23,536,749.47/5,684.53
  6. Step 6: Final answer
    x = 4,140.49

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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.