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Finding the Fourth Proportional to 4,866.72, 7,302.86 and 1,905.41

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Solution

The fourth proportional to 4,866.72, 7,302.86 and 1,905.41 is: 2,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.72 : 7,302.86 = 1,905.41 : x
  2. Step 2: Convert to fraction form
    4,866.72/7,302.86 = 1,905.41/x
  3. Step 3: Cross multiply
    4,866.72x = 7,302.86 × 1,905.41
  4. Step 4: Simplify right side
    4,866.72x = 13,914,942.47
  5. Step 5: Solve for x
    x = 13,914,942.47/4,866.72
  6. Step 6: Final answer
    x = 2,859.20

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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.