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Finding the Fourth Proportional to 5,524.27, 8,234 and 5,102.94

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Solution

The fourth proportional to 5,524.27, 8,234 and 5,102.94 is: 7,606.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.27 : 8,234 = 5,102.94 : x
  2. Step 2: Convert to fraction form
    5,524.27/8,234 = 5,102.94/x
  3. Step 3: Cross multiply
    5,524.27x = 8,234 × 5,102.94
  4. Step 4: Simplify right side
    5,524.27x = 42,017,607.96
  5. Step 5: Solve for x
    x = 42,017,607.96/5,524.27
  6. Step 6: Final answer
    x = 7,606.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.