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Finding the Fourth Proportional to 5,197.70, 7,795.62 and 1,499.03

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Solution

The fourth proportional to 5,197.70, 7,795.62 and 1,499.03 is: 2,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.70 : 7,795.62 = 1,499.03 : x
  2. Step 2: Convert to fraction form
    5,197.70/7,795.62 = 1,499.03/x
  3. Step 3: Cross multiply
    5,197.70x = 7,795.62 × 1,499.03
  4. Step 4: Simplify right side
    5,197.70x = 11,685,829.27
  5. Step 5: Solve for x
    x = 11,685,829.27/5,197.70
  6. Step 6: Final answer
    x = 2,248.27

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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.