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Finding the Fourth Proportional to 4,998.24, 7,498.39 and 1,878.24

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Solution

The fourth proportional to 4,998.24, 7,498.39 and 1,878.24 is: 2,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998.24 : 7,498.39 = 1,878.24 : x
  2. Step 2: Convert to fraction form
    4,998.24/7,498.39 = 1,878.24/x
  3. Step 3: Cross multiply
    4,998.24x = 7,498.39 × 1,878.24
  4. Step 4: Simplify right side
    4,998.24x = 14,083,776.03
  5. Step 5: Solve for x
    x = 14,083,776.03/4,998.24
  6. Step 6: Final answer
    x = 2,817.75

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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.