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Finding the Fourth Proportional to 3,417.06, 4,735.34 and 3,351.44

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Solution

The fourth proportional to 3,417.06, 4,735.34 and 3,351.44 is: 4,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.06 : 4,735.34 = 3,351.44 : x
  2. Step 2: Convert to fraction form
    3,417.06/4,735.34 = 3,351.44/x
  3. Step 3: Cross multiply
    3,417.06x = 4,735.34 × 3,351.44
  4. Step 4: Simplify right side
    3,417.06x = 15,870,207.89
  5. Step 5: Solve for x
    x = 15,870,207.89/3,417.06
  6. Step 6: Final answer
    x = 4,644.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.