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Finding the Fourth Proportional to 3,687.36, 5,084.71 and 2,848.20

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Solution

The fourth proportional to 3,687.36, 5,084.71 and 2,848.20 is: 3,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.36 : 5,084.71 = 2,848.20 : x
  2. Step 2: Convert to fraction form
    3,687.36/5,084.71 = 2,848.20/x
  3. Step 3: Cross multiply
    3,687.36x = 5,084.71 × 2,848.20
  4. Step 4: Simplify right side
    3,687.36x = 14,482,271.02
  5. Step 5: Solve for x
    x = 14,482,271.02/3,687.36
  6. Step 6: Final answer
    x = 3,927.54

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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.