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Finding the Fourth Proportional to 5,486.82, 8,210.79 and 4,838.82

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Solution

The fourth proportional to 5,486.82, 8,210.79 and 4,838.82 is: 7,241.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.82 : 8,210.79 = 4,838.82 : x
  2. Step 2: Convert to fraction form
    5,486.82/8,210.79 = 4,838.82/x
  3. Step 3: Cross multiply
    5,486.82x = 8,210.79 × 4,838.82
  4. Step 4: Simplify right side
    5,486.82x = 39,730,534.87
  5. Step 5: Solve for x
    x = 39,730,534.87/5,486.82
  6. Step 6: Final answer
    x = 7,241.09

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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.