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Finding the Fourth Proportional to 4,857.54, 7,288.02 and 2,084.10

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Solution

The fourth proportional to 4,857.54, 7,288.02 and 2,084.10 is: 3,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.54 : 7,288.02 = 2,084.10 : x
  2. Step 2: Convert to fraction form
    4,857.54/7,288.02 = 2,084.10/x
  3. Step 3: Cross multiply
    4,857.54x = 7,288.02 × 2,084.10
  4. Step 4: Simplify right side
    4,857.54x = 15,188,962.48
  5. Step 5: Solve for x
    x = 15,188,962.48/4,857.54
  6. Step 6: Final answer
    x = 3,126.88

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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.