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Finding the Fourth Proportional to 4,806, 6,632.28 and 3,411.18

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Solution

The fourth proportional to 4,806, 6,632.28 and 3,411.18 is: 4,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806 : 6,632.28 = 3,411.18 : x
  2. Step 2: Convert to fraction form
    4,806/6,632.28 = 3,411.18/x
  3. Step 3: Cross multiply
    4,806x = 6,632.28 × 3,411.18
  4. Step 4: Simplify right side
    4,806x = 22,623,900.89
  5. Step 5: Solve for x
    x = 22,623,900.89/4,806
  6. Step 6: Final answer
    x = 4,707.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.