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Finding the Fourth Proportional to 4,111, 5,673.66 and 2,455

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Solution

The fourth proportional to 4,111, 5,673.66 and 2,455 is: 3,388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111 : 5,673.66 = 2,455 : x
  2. Step 2: Convert to fraction form
    4,111/5,673.66 = 2,455/x
  3. Step 3: Cross multiply
    4,111x = 5,673.66 × 2,455
  4. Step 4: Simplify right side
    4,111x = 13,928,835.30
  5. Step 5: Solve for x
    x = 13,928,835.30/4,111
  6. Step 6: Final answer
    x = 3,388.19

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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.