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Finding the Fourth Proportional to 4,630.25, 6,948.95 and 3,446.96

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Solution

The fourth proportional to 4,630.25, 6,948.95 and 3,446.96 is: 5,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.25 : 6,948.95 = 3,446.96 : x
  2. Step 2: Convert to fraction form
    4,630.25/6,948.95 = 3,446.96/x
  3. Step 3: Cross multiply
    4,630.25x = 6,948.95 × 3,446.96
  4. Step 4: Simplify right side
    4,630.25x = 23,952,752.69
  5. Step 5: Solve for x
    x = 23,952,752.69/4,630.25
  6. Step 6: Final answer
    x = 5,173.10

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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.