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Finding the Fourth Proportional to 5,737.56, 8,602.02 and 2,814.36

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Solution

The fourth proportional to 5,737.56, 8,602.02 and 2,814.36 is: 4,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.56 : 8,602.02 = 2,814.36 : x
  2. Step 2: Convert to fraction form
    5,737.56/8,602.02 = 2,814.36/x
  3. Step 3: Cross multiply
    5,737.56x = 8,602.02 × 2,814.36
  4. Step 4: Simplify right side
    5,737.56x = 24,209,181.01
  5. Step 5: Solve for x
    x = 24,209,181.01/5,737.56
  6. Step 6: Final answer
    x = 4,219.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.