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Finding the Fourth Proportional to 4,661.46, 6,934.37 and 4,614.48

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Solution

The fourth proportional to 4,661.46, 6,934.37 and 4,614.48 is: 6,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.46 : 6,934.37 = 4,614.48 : x
  2. Step 2: Convert to fraction form
    4,661.46/6,934.37 = 4,614.48/x
  3. Step 3: Cross multiply
    4,661.46x = 6,934.37 × 4,614.48
  4. Step 4: Simplify right side
    4,661.46x = 31,998,488.61
  5. Step 5: Solve for x
    x = 31,998,488.61/4,661.46
  6. Step 6: Final answer
    x = 6,864.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.