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Finding the Fourth Proportional to 5,847.84, 8,070.10 and 3,195.30

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Solution

The fourth proportional to 5,847.84, 8,070.10 and 3,195.30 is: 4,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.84 : 8,070.10 = 3,195.30 : x
  2. Step 2: Convert to fraction form
    5,847.84/8,070.10 = 3,195.30/x
  3. Step 3: Cross multiply
    5,847.84x = 8,070.10 × 3,195.30
  4. Step 4: Simplify right side
    5,847.84x = 25,786,390.53
  5. Step 5: Solve for x
    x = 25,786,390.53/5,847.84
  6. Step 6: Final answer
    x = 4,409.56

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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.