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Finding the Fourth Proportional to 4,231.80, 5,838.80 and 2,554.20

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Solution

The fourth proportional to 4,231.80, 5,838.80 and 2,554.20 is: 3,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.80 : 5,838.80 = 2,554.20 : x
  2. Step 2: Convert to fraction form
    4,231.80/5,838.80 = 2,554.20/x
  3. Step 3: Cross multiply
    4,231.80x = 5,838.80 × 2,554.20
  4. Step 4: Simplify right side
    4,231.80x = 14,913,462.96
  5. Step 5: Solve for x
    x = 14,913,462.96/4,231.80
  6. Step 6: Final answer
    x = 3,524.14

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