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Finding the Fourth Proportional to 6,941.94, 9,579.90 and 3,798.19

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Solution

The fourth proportional to 6,941.94, 9,579.90 and 3,798.19 is: 5,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.94 : 9,579.90 = 3,798.19 : x
  2. Step 2: Convert to fraction form
    6,941.94/9,579.90 = 3,798.19/x
  3. Step 3: Cross multiply
    6,941.94x = 9,579.90 × 3,798.19
  4. Step 4: Simplify right side
    6,941.94x = 36,386,280.38
  5. Step 5: Solve for x
    x = 36,386,280.38/6,941.94
  6. Step 6: Final answer
    x = 5,241.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.