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Finding the Fourth Proportional to 3,963, 5,470.38 and 2,307

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Solution

The fourth proportional to 3,963, 5,470.38 and 2,307 is: 3,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963 : 5,470.38 = 2,307 : x
  2. Step 2: Convert to fraction form
    3,963/5,470.38 = 2,307/x
  3. Step 3: Cross multiply
    3,963x = 5,470.38 × 2,307
  4. Step 4: Simplify right side
    3,963x = 12,620,166.66
  5. Step 5: Solve for x
    x = 12,620,166.66/3,963
  6. Step 6: Final answer
    x = 3,184.50

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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.