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Finding the Fourth Proportional to 4,759.50, 7,139.34 and 1,296.84

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Solution

The fourth proportional to 4,759.50, 7,139.34 and 1,296.84 is: 1,945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.50 : 7,139.34 = 1,296.84 : x
  2. Step 2: Convert to fraction form
    4,759.50/7,139.34 = 1,296.84/x
  3. Step 3: Cross multiply
    4,759.50x = 7,139.34 × 1,296.84
  4. Step 4: Simplify right side
    4,759.50x = 9,258,581.69
  5. Step 5: Solve for x
    x = 9,258,581.69/4,759.50
  6. Step 6: Final answer
    x = 1,945.28

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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.