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Finding the Fourth Proportional to 5,602.46, 7,731.59 and 3,084.73

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Solution

The fourth proportional to 5,602.46, 7,731.59 and 3,084.73 is: 4,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.46 : 7,731.59 = 3,084.73 : x
  2. Step 2: Convert to fraction form
    5,602.46/7,731.59 = 3,084.73/x
  3. Step 3: Cross multiply
    5,602.46x = 7,731.59 × 3,084.73
  4. Step 4: Simplify right side
    5,602.46x = 23,849,867.62
  5. Step 5: Solve for x
    x = 23,849,867.62/5,602.46
  6. Step 6: Final answer
    x = 4,257.03

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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.