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Finding the Fourth Proportional to 5,632.50, 8,448.77 and 1,935.79

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Solution

The fourth proportional to 5,632.50, 8,448.77 and 1,935.79 is: 2,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.50 : 8,448.77 = 1,935.79 : x
  2. Step 2: Convert to fraction form
    5,632.50/8,448.77 = 1,935.79/x
  3. Step 3: Cross multiply
    5,632.50x = 8,448.77 × 1,935.79
  4. Step 4: Simplify right side
    5,632.50x = 16,355,034.80
  5. Step 5: Solve for x
    x = 16,355,034.80/5,632.50
  6. Step 6: Final answer
    x = 2,903.69

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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.