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Finding the Fourth Proportional to 5,242.77, 7,234.90 and 3,005.96

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Solution

The fourth proportional to 5,242.77, 7,234.90 and 3,005.96 is: 4,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.77 : 7,234.90 = 3,005.96 : x
  2. Step 2: Convert to fraction form
    5,242.77/7,234.90 = 3,005.96/x
  3. Step 3: Cross multiply
    5,242.77x = 7,234.90 × 3,005.96
  4. Step 4: Simplify right side
    5,242.77x = 21,747,776.31
  5. Step 5: Solve for x
    x = 21,747,776.31/5,242.77
  6. Step 6: Final answer
    x = 4,148.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.