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Finding the Fourth Proportional to 5,239.40, 7,859.10 and 5,037.80

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Solution

The fourth proportional to 5,239.40, 7,859.10 and 5,037.80 is: 7,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.40 : 7,859.10 = 5,037.80 : x
  2. Step 2: Convert to fraction form
    5,239.40/7,859.10 = 5,037.80/x
  3. Step 3: Cross multiply
    5,239.40x = 7,859.10 × 5,037.80
  4. Step 4: Simplify right side
    5,239.40x = 39,592,573.98
  5. Step 5: Solve for x
    x = 39,592,573.98/5,239.40
  6. Step 6: Final answer
    x = 7,556.70

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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.