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Finding the Fourth Proportional to 5,293.28, 7,941.14 and 2,830.48

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Solution

The fourth proportional to 5,293.28, 7,941.14 and 2,830.48 is: 4,246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.28 : 7,941.14 = 2,830.48 : x
  2. Step 2: Convert to fraction form
    5,293.28/7,941.14 = 2,830.48/x
  3. Step 3: Cross multiply
    5,293.28x = 7,941.14 × 2,830.48
  4. Step 4: Simplify right side
    5,293.28x = 22,477,214.56
  5. Step 5: Solve for x
    x = 22,477,214.56/5,293.28
  6. Step 6: Final answer
    x = 4,246.37

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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.