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Finding the Fourth Proportional to 5,343.33, 8,016 and 2,056.14

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Solution

The fourth proportional to 5,343.33, 8,016 and 2,056.14 is: 3,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.33 : 8,016 = 2,056.14 : x
  2. Step 2: Convert to fraction form
    5,343.33/8,016 = 2,056.14/x
  3. Step 3: Cross multiply
    5,343.33x = 8,016 × 2,056.14
  4. Step 4: Simplify right side
    5,343.33x = 16,482,018.24
  5. Step 5: Solve for x
    x = 16,482,018.24/5,343.33
  6. Step 6: Final answer
    x = 3,084.60

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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.