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Finding the Fourth Proportional to 4,238.38, 5,848.96 and 2,582.38

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Solution

The fourth proportional to 4,238.38, 5,848.96 and 2,582.38 is: 3,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.38 : 5,848.96 = 2,582.38 : x
  2. Step 2: Convert to fraction form
    4,238.38/5,848.96 = 2,582.38/x
  3. Step 3: Cross multiply
    4,238.38x = 5,848.96 × 2,582.38
  4. Step 4: Simplify right side
    4,238.38x = 15,104,237.32
  5. Step 5: Solve for x
    x = 15,104,237.32/4,238.38
  6. Step 6: Final answer
    x = 3,563.68

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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.