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Finding the Fourth Proportional to 4,223.38, 5,828.43 and 2,804.62

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Solution

The fourth proportional to 4,223.38, 5,828.43 and 2,804.62 is: 3,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.38 : 5,828.43 = 2,804.62 : x
  2. Step 2: Convert to fraction form
    4,223.38/5,828.43 = 2,804.62/x
  3. Step 3: Cross multiply
    4,223.38x = 5,828.43 × 2,804.62
  4. Step 4: Simplify right side
    4,223.38x = 16,346,538.63
  5. Step 5: Solve for x
    x = 16,346,538.63/4,223.38
  6. Step 6: Final answer
    x = 3,870.49

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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.