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Finding the Fourth Proportional to 5,096.53, 7,647.40 and 2,322.84

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Solution

The fourth proportional to 5,096.53, 7,647.40 and 2,322.84 is: 3,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.53 : 7,647.40 = 2,322.84 : x
  2. Step 2: Convert to fraction form
    5,096.53/7,647.40 = 2,322.84/x
  3. Step 3: Cross multiply
    5,096.53x = 7,647.40 × 2,322.84
  4. Step 4: Simplify right side
    5,096.53x = 17,763,713.84
  5. Step 5: Solve for x
    x = 17,763,713.84/5,096.53
  6. Step 6: Final answer
    x = 3,485.45

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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.