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Finding the Fourth Proportional to 4,592.34, 6,883.92 and 3,669.48

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Solution

The fourth proportional to 4,592.34, 6,883.92 and 3,669.48 is: 5,500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.34 : 6,883.92 = 3,669.48 : x
  2. Step 2: Convert to fraction form
    4,592.34/6,883.92 = 3,669.48/x
  3. Step 3: Cross multiply
    4,592.34x = 6,883.92 × 3,669.48
  4. Step 4: Simplify right side
    4,592.34x = 25,260,406.76
  5. Step 5: Solve for x
    x = 25,260,406.76/4,592.34
  6. Step 6: Final answer
    x = 5,500.55

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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.