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Finding the Fourth Proportional to 5,948.44, 8,209.11 and 3,295.84

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Solution

The fourth proportional to 5,948.44, 8,209.11 and 3,295.84 is: 4,548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.44 : 8,209.11 = 3,295.84 : x
  2. Step 2: Convert to fraction form
    5,948.44/8,209.11 = 3,295.84/x
  3. Step 3: Cross multiply
    5,948.44x = 8,209.11 × 3,295.84
  4. Step 4: Simplify right side
    5,948.44x = 27,055,913.10
  5. Step 5: Solve for x
    x = 27,055,913.10/5,948.44
  6. Step 6: Final answer
    x = 4,548.40

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1.5x scale

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.