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Finding the Fourth Proportional to 4,922.08, 7,382.16 and 1,459.36

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Solution

The fourth proportional to 4,922.08, 7,382.16 and 1,459.36 is: 2,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.08 : 7,382.16 = 1,459.36 : x
  2. Step 2: Convert to fraction form
    4,922.08/7,382.16 = 1,459.36/x
  3. Step 3: Cross multiply
    4,922.08x = 7,382.16 × 1,459.36
  4. Step 4: Simplify right side
    4,922.08x = 10,773,229.02
  5. Step 5: Solve for x
    x = 10,773,229.02/4,922.08
  6. Step 6: Final answer
    x = 2,188.76

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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.