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Finding the Fourth Proportional to 4,759, 6,567.42 and 2,896

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Solution

The fourth proportional to 4,759, 6,567.42 and 2,896 is: 3,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759 : 6,567.42 = 2,896 : x
  2. Step 2: Convert to fraction form
    4,759/6,567.42 = 2,896/x
  3. Step 3: Cross multiply
    4,759x = 6,567.42 × 2,896
  4. Step 4: Simplify right side
    4,759x = 19,019,248.32
  5. Step 5: Solve for x
    x = 19,019,248.32/4,759
  6. Step 6: Final answer
    x = 3,996.48

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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.