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Finding the Fourth Proportional to 5,226.30, 7,827.30 and 5,121.90

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Solution

The fourth proportional to 5,226.30, 7,827.30 and 5,121.90 is: 7,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.30 : 7,827.30 = 5,121.90 : x
  2. Step 2: Convert to fraction form
    5,226.30/7,827.30 = 5,121.90/x
  3. Step 3: Cross multiply
    5,226.30x = 7,827.30 × 5,121.90
  4. Step 4: Simplify right side
    5,226.30x = 40,090,647.87
  5. Step 5: Solve for x
    x = 40,090,647.87/5,226.30
  6. Step 6: Final answer
    x = 7,670.94

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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.