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Finding the Fourth Proportional to 5,768.71, 8,647.84 and 2,070.34

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Solution

The fourth proportional to 5,768.71, 8,647.84 and 2,070.34 is: 3,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.71 : 8,647.84 = 2,070.34 : x
  2. Step 2: Convert to fraction form
    5,768.71/8,647.84 = 2,070.34/x
  3. Step 3: Cross multiply
    5,768.71x = 8,647.84 × 2,070.34
  4. Step 4: Simplify right side
    5,768.71x = 17,903,969.07
  5. Step 5: Solve for x
    x = 17,903,969.07/5,768.71
  6. Step 6: Final answer
    x = 3,103.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.