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Finding the Fourth Proportional to 4,817.46, 6,648.38 and 3,401.65

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Solution

The fourth proportional to 4,817.46, 6,648.38 and 3,401.65 is: 4,694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.46 : 6,648.38 = 3,401.65 : x
  2. Step 2: Convert to fraction form
    4,817.46/6,648.38 = 3,401.65/x
  3. Step 3: Cross multiply
    4,817.46x = 6,648.38 × 3,401.65
  4. Step 4: Simplify right side
    4,817.46x = 22,615,461.83
  5. Step 5: Solve for x
    x = 22,615,461.83/4,817.46
  6. Step 6: Final answer
    x = 4,694.48

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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.