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Finding the Fourth Proportional to 5,846.86, 8,760.39 and 3,533.50

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Solution

The fourth proportional to 5,846.86, 8,760.39 and 3,533.50 is: 5,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.86 : 8,760.39 = 3,533.50 : x
  2. Step 2: Convert to fraction form
    5,846.86/8,760.39 = 3,533.50/x
  3. Step 3: Cross multiply
    5,846.86x = 8,760.39 × 3,533.50
  4. Step 4: Simplify right side
    5,846.86x = 30,954,838.07
  5. Step 5: Solve for x
    x = 30,954,838.07/5,846.86
  6. Step 6: Final answer
    x = 5,294.27

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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.