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Finding the Fourth Proportional to 3,502, 4,833.03 and 2,456.56

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Solution

The fourth proportional to 3,502, 4,833.03 and 2,456.56 is: 3,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502 : 4,833.03 = 2,456.56 : x
  2. Step 2: Convert to fraction form
    3,502/4,833.03 = 2,456.56/x
  3. Step 3: Cross multiply
    3,502x = 4,833.03 × 2,456.56
  4. Step 4: Simplify right side
    3,502x = 11,872,628.18
  5. Step 5: Solve for x
    x = 11,872,628.18/3,502
  6. Step 6: Final answer
    x = 3,390.24

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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.