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Finding the Fourth Proportional to 4,997.73, 7,497.32 and 1,535.25

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Solution

The fourth proportional to 4,997.73, 7,497.32 and 1,535.25 is: 2,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.73 : 7,497.32 = 1,535.25 : x
  2. Step 2: Convert to fraction form
    4,997.73/7,497.32 = 1,535.25/x
  3. Step 3: Cross multiply
    4,997.73x = 7,497.32 × 1,535.25
  4. Step 4: Simplify right side
    4,997.73x = 11,510,252.85
  5. Step 5: Solve for x
    x = 11,510,252.85/4,997.73
  6. Step 6: Final answer
    x = 2,303.10

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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.