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Finding the Fourth Proportional to 5,948.65, 8,206.39 and 4,181.28

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Solution

The fourth proportional to 5,948.65, 8,206.39 and 4,181.28 is: 5,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.65 : 8,206.39 = 4,181.28 : x
  2. Step 2: Convert to fraction form
    5,948.65/8,206.39 = 4,181.28/x
  3. Step 3: Cross multiply
    5,948.65x = 8,206.39 × 4,181.28
  4. Step 4: Simplify right side
    5,948.65x = 34,313,214.38
  5. Step 5: Solve for x
    x = 34,313,214.38/5,948.65
  6. Step 6: Final answer
    x = 5,768.24

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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.