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Finding the Fourth Proportional to 5,293.24, 7,943.52 and 1,830.52

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Solution

The fourth proportional to 5,293.24, 7,943.52 and 1,830.52 is: 2,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.24 : 7,943.52 = 1,830.52 : x
  2. Step 2: Convert to fraction form
    5,293.24/7,943.52 = 1,830.52/x
  3. Step 3: Cross multiply
    5,293.24x = 7,943.52 × 1,830.52
  4. Step 4: Simplify right side
    5,293.24x = 14,540,772.23
  5. Step 5: Solve for x
    x = 14,540,772.23/5,293.24
  6. Step 6: Final answer
    x = 2,747.05

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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.