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Finding the Fourth Proportional to 4,609.82, 6,914.82 and 1,147.08

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Solution

The fourth proportional to 4,609.82, 6,914.82 and 1,147.08 is: 1,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.82 : 6,914.82 = 1,147.08 : x
  2. Step 2: Convert to fraction form
    4,609.82/6,914.82 = 1,147.08/x
  3. Step 3: Cross multiply
    4,609.82x = 6,914.82 × 1,147.08
  4. Step 4: Simplify right side
    4,609.82x = 7,931,851.73
  5. Step 5: Solve for x
    x = 7,931,851.73/4,609.82
  6. Step 6: Final answer
    x = 1,720.64

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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.