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Finding the Fourth Proportional to 5,172.19, 7,759.50 and 1,709.44

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Solution

The fourth proportional to 5,172.19, 7,759.50 and 1,709.44 is: 2,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.19 : 7,759.50 = 1,709.44 : x
  2. Step 2: Convert to fraction form
    5,172.19/7,759.50 = 1,709.44/x
  3. Step 3: Cross multiply
    5,172.19x = 7,759.50 × 1,709.44
  4. Step 4: Simplify right side
    5,172.19x = 13,264,373.87
  5. Step 5: Solve for x
    x = 13,264,373.87/5,172.19
  6. Step 6: Final answer
    x = 2,564.56

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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.