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Finding the Fourth Proportional to 4,084.54, 5,602.75 and 4,049.40

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Solution

The fourth proportional to 4,084.54, 5,602.75 and 4,049.40 is: 5,554.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084.54 : 5,602.75 = 4,049.40 : x
  2. Step 2: Convert to fraction form
    4,084.54/5,602.75 = 4,049.40/x
  3. Step 3: Cross multiply
    4,084.54x = 5,602.75 × 4,049.40
  4. Step 4: Simplify right side
    4,084.54x = 22,687,775.85
  5. Step 5: Solve for x
    x = 22,687,775.85/4,084.54
  6. Step 6: Final answer
    x = 5,554.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.