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Finding the Fourth Proportional to 4,682.60, 6,441.79 and 4,048.37

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Solution

The fourth proportional to 4,682.60, 6,441.79 and 4,048.37 is: 5,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.60 : 6,441.79 = 4,048.37 : x
  2. Step 2: Convert to fraction form
    4,682.60/6,441.79 = 4,048.37/x
  3. Step 3: Cross multiply
    4,682.60x = 6,441.79 × 4,048.37
  4. Step 4: Simplify right side
    4,682.60x = 26,078,749.38
  5. Step 5: Solve for x
    x = 26,078,749.38/4,682.60
  6. Step 6: Final answer
    x = 5,569.29

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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.