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Finding the Fourth Proportional to 5,239.17, 7,859.72 and 1,729.42

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Solution

The fourth proportional to 5,239.17, 7,859.72 and 1,729.42 is: 2,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.17 : 7,859.72 = 1,729.42 : x
  2. Step 2: Convert to fraction form
    5,239.17/7,859.72 = 1,729.42/x
  3. Step 3: Cross multiply
    5,239.17x = 7,859.72 × 1,729.42
  4. Step 4: Simplify right side
    5,239.17x = 13,592,749.01
  5. Step 5: Solve for x
    x = 13,592,749.01/5,239.17
  6. Step 6: Final answer
    x = 2,594.45

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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.