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Finding the Fourth Proportional to 4,466.92, 6,164.58 and 3,361

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Solution

The fourth proportional to 4,466.92, 6,164.58 and 3,361 is: 4,638.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.92 : 6,164.58 = 3,361 : x
  2. Step 2: Convert to fraction form
    4,466.92/6,164.58 = 3,361/x
  3. Step 3: Cross multiply
    4,466.92x = 6,164.58 × 3,361
  4. Step 4: Simplify right side
    4,466.92x = 20,719,153.38
  5. Step 5: Solve for x
    x = 20,719,153.38/4,466.92
  6. Step 6: Final answer
    x = 4,638.35

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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.