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Finding the Fourth Proportional to 4,759.42, 7,139.14 and 1,296.67

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Solution

The fourth proportional to 4,759.42, 7,139.14 and 1,296.67 is: 1,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.42 : 7,139.14 = 1,296.67 : x
  2. Step 2: Convert to fraction form
    4,759.42/7,139.14 = 1,296.67/x
  3. Step 3: Cross multiply
    4,759.42x = 7,139.14 × 1,296.67
  4. Step 4: Simplify right side
    4,759.42x = 9,257,087.57
  5. Step 5: Solve for x
    x = 9,257,087.57/4,759.42
  6. Step 6: Final answer
    x = 1,945.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.