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Finding the Fourth Proportional to 5,296.81, 7,945.25 and 1,599.03

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Solution

The fourth proportional to 5,296.81, 7,945.25 and 1,599.03 is: 2,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.81 : 7,945.25 = 1,599.03 : x
  2. Step 2: Convert to fraction form
    5,296.81/7,945.25 = 1,599.03/x
  3. Step 3: Cross multiply
    5,296.81x = 7,945.25 × 1,599.03
  4. Step 4: Simplify right side
    5,296.81x = 12,704,693.11
  5. Step 5: Solve for x
    x = 12,704,693.11/5,296.81
  6. Step 6: Final answer
    x = 2,398.56

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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.