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Finding the Fourth Proportional to 6,658.74, 9,188.96 and 3,674.57

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Solution

The fourth proportional to 6,658.74, 9,188.96 and 3,674.57 is: 5,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.74 : 9,188.96 = 3,674.57 : x
  2. Step 2: Convert to fraction form
    6,658.74/9,188.96 = 3,674.57/x
  3. Step 3: Cross multiply
    6,658.74x = 9,188.96 × 3,674.57
  4. Step 4: Simplify right side
    6,658.74x = 33,765,412.43
  5. Step 5: Solve for x
    x = 33,765,412.43/6,658.74
  6. Step 6: Final answer
    x = 5,070.84

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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.