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Finding the Fourth Proportional to 5,205.84, 7,184.03 and 2,815.81

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Solution

The fourth proportional to 5,205.84, 7,184.03 and 2,815.81 is: 3,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.84 : 7,184.03 = 2,815.81 : x
  2. Step 2: Convert to fraction form
    5,205.84/7,184.03 = 2,815.81/x
  3. Step 3: Cross multiply
    5,205.84x = 7,184.03 × 2,815.81
  4. Step 4: Simplify right side
    5,205.84x = 20,228,865.34
  5. Step 5: Solve for x
    x = 20,228,865.34/5,205.84
  6. Step 6: Final answer
    x = 3,885.81

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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.