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Finding the Fourth Proportional to 5,205, 7,182.90 and 2,847.17

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Solution

The fourth proportional to 5,205, 7,182.90 and 2,847.17 is: 3,929.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205 : 7,182.90 = 2,847.17 : x
  2. Step 2: Convert to fraction form
    5,205/7,182.90 = 2,847.17/x
  3. Step 3: Cross multiply
    5,205x = 7,182.90 × 2,847.17
  4. Step 4: Simplify right side
    5,205x = 20,450,901.48
  5. Step 5: Solve for x
    x = 20,450,901.48/5,205
  6. Step 6: Final answer
    x = 3,929.09

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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.