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Finding the Fourth Proportional to 4,842.08, 7,262.16 and 2,534.24

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Solution

The fourth proportional to 4,842.08, 7,262.16 and 2,534.24 is: 3,800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.08 : 7,262.16 = 2,534.24 : x
  2. Step 2: Convert to fraction form
    4,842.08/7,262.16 = 2,534.24/x
  3. Step 3: Cross multiply
    4,842.08x = 7,262.16 × 2,534.24
  4. Step 4: Simplify right side
    4,842.08x = 18,404,056.36
  5. Step 5: Solve for x
    x = 18,404,056.36/4,842.08
  6. Step 6: Final answer
    x = 3,800.86

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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.