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Finding the Fourth Proportional to 4,623.72, 6,381 and 3,447.96

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Solution

The fourth proportional to 4,623.72, 6,381 and 3,447.96 is: 4,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,623.72 : 6,381 = 3,447.96 : x
  2. Step 2: Convert to fraction form
    4,623.72/6,381 = 3,447.96/x
  3. Step 3: Cross multiply
    4,623.72x = 6,381 × 3,447.96
  4. Step 4: Simplify right side
    4,623.72x = 22,001,432.76
  5. Step 5: Solve for x
    x = 22,001,432.76/4,623.72
  6. Step 6: Final answer
    x = 4,758.38

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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.