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Finding the Fourth Proportional to 3,166.00, 4,744.06 and 2,835.14

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Solution

The fourth proportional to 3,166.00, 4,744.06 and 2,835.14 is: 4,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.00 : 4,744.06 = 2,835.14 : x
  2. Step 2: Convert to fraction form
    3,166.00/4,744.06 = 2,835.14/x
  3. Step 3: Cross multiply
    3,166.00x = 4,744.06 × 2,835.14
  4. Step 4: Simplify right side
    3,166.00x = 13,450,043.46
  5. Step 5: Solve for x
    x = 13,450,043.46/3,166.00
  6. Step 6: Final answer
    x = 4,248.28

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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.