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Finding the Fourth Proportional to 5,684.95, 7,842.41 and 3,799.06

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Solution

The fourth proportional to 5,684.95, 7,842.41 and 3,799.06 is: 5,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.95 : 7,842.41 = 3,799.06 : x
  2. Step 2: Convert to fraction form
    5,684.95/7,842.41 = 3,799.06/x
  3. Step 3: Cross multiply
    5,684.95x = 7,842.41 × 3,799.06
  4. Step 4: Simplify right side
    5,684.95x = 29,793,747.53
  5. Step 5: Solve for x
    x = 29,793,747.53/5,684.95
  6. Step 6: Final answer
    x = 5,240.81

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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.