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Finding the Fourth Proportional to 4,663.62, 6,993.45 and 1,739.88

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Solution

The fourth proportional to 4,663.62, 6,993.45 and 1,739.88 is: 2,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.62 : 6,993.45 = 1,739.88 : x
  2. Step 2: Convert to fraction form
    4,663.62/6,993.45 = 1,739.88/x
  3. Step 3: Cross multiply
    4,663.62x = 6,993.45 × 1,739.88
  4. Step 4: Simplify right side
    4,663.62x = 12,167,763.79
  5. Step 5: Solve for x
    x = 12,167,763.79/4,663.62
  6. Step 6: Final answer
    x = 2,609.08

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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.