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Finding the Fourth Proportional to 5,234.96, 7,852.02 and 2,462.24

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Solution

The fourth proportional to 5,234.96, 7,852.02 and 2,462.24 is: 3,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.96 : 7,852.02 = 2,462.24 : x
  2. Step 2: Convert to fraction form
    5,234.96/7,852.02 = 2,462.24/x
  3. Step 3: Cross multiply
    5,234.96x = 7,852.02 × 2,462.24
  4. Step 4: Simplify right side
    5,234.96x = 19,333,557.72
  5. Step 5: Solve for x
    x = 19,333,557.72/5,234.96
  6. Step 6: Final answer
    x = 3,693.16

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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.