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Finding the Fourth Proportional to 3,506.04, 5,257.92 and 3,276

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Solution

The fourth proportional to 3,506.04, 5,257.92 and 3,276 is: 4,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.04 : 5,257.92 = 3,276 : x
  2. Step 2: Convert to fraction form
    3,506.04/5,257.92 = 3,276/x
  3. Step 3: Cross multiply
    3,506.04x = 5,257.92 × 3,276
  4. Step 4: Simplify right side
    3,506.04x = 17,224,945.92
  5. Step 5: Solve for x
    x = 17,224,945.92/3,506.04
  6. Step 6: Final answer
    x = 4,912.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.