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Finding the Fourth Proportional to 6,302.80, 8,698.36 and 4,174.72

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Solution

The fourth proportional to 6,302.80, 8,698.36 and 4,174.72 is: 5,761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.80 : 8,698.36 = 4,174.72 : x
  2. Step 2: Convert to fraction form
    6,302.80/8,698.36 = 4,174.72/x
  3. Step 3: Cross multiply
    6,302.80x = 8,698.36 × 4,174.72
  4. Step 4: Simplify right side
    6,302.80x = 36,313,217.46
  5. Step 5: Solve for x
    x = 36,313,217.46/6,302.80
  6. Step 6: Final answer
    x = 5,761.44

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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.