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Finding the Fourth Proportional to 4,609.04, 6,912.19 and 1,686.66

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Solution

The fourth proportional to 4,609.04, 6,912.19 and 1,686.66 is: 2,529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.04 : 6,912.19 = 1,686.66 : x
  2. Step 2: Convert to fraction form
    4,609.04/6,912.19 = 1,686.66/x
  3. Step 3: Cross multiply
    4,609.04x = 6,912.19 × 1,686.66
  4. Step 4: Simplify right side
    4,609.04x = 11,658,514.39
  5. Step 5: Solve for x
    x = 11,658,514.39/4,609.04
  6. Step 6: Final answer
    x = 2,529.49

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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.