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Finding the Fourth Proportional to 4,892.63, 7,339.83 and 2,295.50

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Solution

The fourth proportional to 4,892.63, 7,339.83 and 2,295.50 is: 3,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.63 : 7,339.83 = 2,295.50 : x
  2. Step 2: Convert to fraction form
    4,892.63/7,339.83 = 2,295.50/x
  3. Step 3: Cross multiply
    4,892.63x = 7,339.83 × 2,295.50
  4. Step 4: Simplify right side
    4,892.63x = 16,848,568.29
  5. Step 5: Solve for x
    x = 16,848,568.29/4,892.63
  6. Step 6: Final answer
    x = 3,443.66

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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.