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Finding the Fourth Proportional to 5,817.66, 8,725.21 and 1,921.14

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Solution

The fourth proportional to 5,817.66, 8,725.21 and 1,921.14 is: 2,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.66 : 8,725.21 = 1,921.14 : x
  2. Step 2: Convert to fraction form
    5,817.66/8,725.21 = 1,921.14/x
  3. Step 3: Cross multiply
    5,817.66x = 8,725.21 × 1,921.14
  4. Step 4: Simplify right side
    5,817.66x = 16,762,349.94
  5. Step 5: Solve for x
    x = 16,762,349.94/5,817.66
  6. Step 6: Final answer
    x = 2,881.29

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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.