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Finding the Fourth Proportional to 4,759, 6,567.42 and 2,663.14

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Solution

The fourth proportional to 4,759, 6,567.42 and 2,663.14 is: 3,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759 : 6,567.42 = 2,663.14 : x
  2. Step 2: Convert to fraction form
    4,759/6,567.42 = 2,663.14/x
  3. Step 3: Cross multiply
    4,759x = 6,567.42 × 2,663.14
  4. Step 4: Simplify right side
    4,759x = 17,489,958.90
  5. Step 5: Solve for x
    x = 17,489,958.90/4,759
  6. Step 6: Final answer
    x = 3,675.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.