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Finding the Fourth Proportional to 4,997.12, 7,488 and 1,917.44

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Solution

The fourth proportional to 4,997.12, 7,488 and 1,917.44 is: 2,873.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.12 : 7,488 = 1,917.44 : x
  2. Step 2: Convert to fraction form
    4,997.12/7,488 = 1,917.44/x
  3. Step 3: Cross multiply
    4,997.12x = 7,488 × 1,917.44
  4. Step 4: Simplify right side
    4,997.12x = 14,357,790.72
  5. Step 5: Solve for x
    x = 14,357,790.72/4,997.12
  6. Step 6: Final answer
    x = 2,873.21

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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.