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Finding the Fourth Proportional to 4,825.80, 7,238.70 and 3,659.40

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Solution

The fourth proportional to 4,825.80, 7,238.70 and 3,659.40 is: 5,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.80 : 7,238.70 = 3,659.40 : x
  2. Step 2: Convert to fraction form
    4,825.80/7,238.70 = 3,659.40/x
  3. Step 3: Cross multiply
    4,825.80x = 7,238.70 × 3,659.40
  4. Step 4: Simplify right side
    4,825.80x = 26,489,298.78
  5. Step 5: Solve for x
    x = 26,489,298.78/4,825.80
  6. Step 6: Final answer
    x = 5,489.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.