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Finding the Fourth Proportional to 6,416.52, 8,853.72 and 3,898.20

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Solution

The fourth proportional to 6,416.52, 8,853.72 and 3,898.20 is: 5,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.52 : 8,853.72 = 3,898.20 : x
  2. Step 2: Convert to fraction form
    6,416.52/8,853.72 = 3,898.20/x
  3. Step 3: Cross multiply
    6,416.52x = 8,853.72 × 3,898.20
  4. Step 4: Simplify right side
    6,416.52x = 34,513,571.30
  5. Step 5: Solve for x
    x = 34,513,571.30/6,416.52
  6. Step 6: Final answer
    x = 5,378.86

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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.