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Finding the Fourth Proportional to 4,632.72, 6,934.03 and 3,399.83

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Solution

The fourth proportional to 4,632.72, 6,934.03 and 3,399.83 is: 5,088.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.72 : 6,934.03 = 3,399.83 : x
  2. Step 2: Convert to fraction form
    4,632.72/6,934.03 = 3,399.83/x
  3. Step 3: Cross multiply
    4,632.72x = 6,934.03 × 3,399.83
  4. Step 4: Simplify right side
    4,632.72x = 23,574,532.05
  5. Step 5: Solve for x
    x = 23,574,532.05/4,632.72
  6. Step 6: Final answer
    x = 5,088.70

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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.