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Finding the Fourth Proportional to 4,821.82, 6,656.29 and 2,832.50

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Solution

The fourth proportional to 4,821.82, 6,656.29 and 2,832.50 is: 3,910.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.82 : 6,656.29 = 2,832.50 : x
  2. Step 2: Convert to fraction form
    4,821.82/6,656.29 = 2,832.50/x
  3. Step 3: Cross multiply
    4,821.82x = 6,656.29 × 2,832.50
  4. Step 4: Simplify right side
    4,821.82x = 18,853,950.98
  5. Step 5: Solve for x
    x = 18,853,950.98/4,821.82
  6. Step 6: Final answer
    x = 3,910.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.