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Finding the Fourth Proportional to 4,106, 5,662.92 and 2,534.48

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Solution

The fourth proportional to 4,106, 5,662.92 and 2,534.48 is: 3,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106 : 5,662.92 = 2,534.48 : x
  2. Step 2: Convert to fraction form
    4,106/5,662.92 = 2,534.48/x
  3. Step 3: Cross multiply
    4,106x = 5,662.92 × 2,534.48
  4. Step 4: Simplify right side
    4,106x = 14,352,557.48
  5. Step 5: Solve for x
    x = 14,352,557.48/4,106
  6. Step 6: Final answer
    x = 3,495.51

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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.