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Finding the Fourth Proportional to 4,971.68, 7,449.92 and 2,499.60

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Solution

The fourth proportional to 4,971.68, 7,449.92 and 2,499.60 is: 3,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.68 : 7,449.92 = 2,499.60 : x
  2. Step 2: Convert to fraction form
    4,971.68/7,449.92 = 2,499.60/x
  3. Step 3: Cross multiply
    4,971.68x = 7,449.92 × 2,499.60
  4. Step 4: Simplify right side
    4,971.68x = 18,621,820.03
  5. Step 5: Solve for x
    x = 18,621,820.03/4,971.68
  6. Step 6: Final answer
    x = 3,745.58

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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.