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Finding the Fourth Proportional to 5,295.58, 7,943.30 and 1,293.02

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Solution

The fourth proportional to 5,295.58, 7,943.30 and 1,293.02 is: 1,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.58 : 7,943.30 = 1,293.02 : x
  2. Step 2: Convert to fraction form
    5,295.58/7,943.30 = 1,293.02/x
  3. Step 3: Cross multiply
    5,295.58x = 7,943.30 × 1,293.02
  4. Step 4: Simplify right side
    5,295.58x = 10,270,834.22
  5. Step 5: Solve for x
    x = 10,270,834.22/5,295.58
  6. Step 6: Final answer
    x = 1,939.51

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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.