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Finding the Fourth Proportional to 6,473.66, 8,933.60 and 3,679.16

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Solution

The fourth proportional to 6,473.66, 8,933.60 and 3,679.16 is: 5,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.66 : 8,933.60 = 3,679.16 : x
  2. Step 2: Convert to fraction form
    6,473.66/8,933.60 = 3,679.16/x
  3. Step 3: Cross multiply
    6,473.66x = 8,933.60 × 3,679.16
  4. Step 4: Simplify right side
    6,473.66x = 32,868,143.78
  5. Step 5: Solve for x
    x = 32,868,143.78/6,473.66
  6. Step 6: Final answer
    x = 5,077.21

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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.