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Finding the Fourth Proportional to 4,998.06, 7,496.73 and 1,535.10

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Solution

The fourth proportional to 4,998.06, 7,496.73 and 1,535.10 is: 2,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998.06 : 7,496.73 = 1,535.10 : x
  2. Step 2: Convert to fraction form
    4,998.06/7,496.73 = 1,535.10/x
  3. Step 3: Cross multiply
    4,998.06x = 7,496.73 × 1,535.10
  4. Step 4: Simplify right side
    4,998.06x = 11,508,230.22
  5. Step 5: Solve for x
    x = 11,508,230.22/4,998.06
  6. Step 6: Final answer
    x = 2,302.54

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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.